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Finding the Third Proportional to 228,268.13 and 306,214.17

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Solution

The third proportional to 228,268.13 and 306,214.17 is: 410,776.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,268.13 : 306,214.17 = 306,214.17 : x
  2. Step 2: Convert to fraction form
    228,268.13/306,214.17 = 306,214.17/x
  3. Step 3: Cross multiply
    228,268.13x = 306,214.17 × 306,214.17
  4. Step 4: Simplify right side
    228,268.13x = 93,767,119,057.09
  5. Step 5: Solve for x
    x = 93,767,119,057.09/228,268.13
  6. Step 6: Final answer
    x = 410,776.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.