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Finding the Third Proportional to 253,229.06 and 386,276.06

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Solution

The third proportional to 253,229.06 and 386,276.06 is: 589,226.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,229.06 : 386,276.06 = 386,276.06 : x
  2. Step 2: Convert to fraction form
    253,229.06/386,276.06 = 386,276.06/x
  3. Step 3: Cross multiply
    253,229.06x = 386,276.06 × 386,276.06
  4. Step 4: Simplify right side
    253,229.06x = 149,209,196,460.50
  5. Step 5: Solve for x
    x = 149,209,196,460.50/253,229.06
  6. Step 6: Final answer
    x = 589,226.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.