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Finding the Third Proportional to 145,434.50 and 314,216

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Solution

The third proportional to 145,434.50 and 314,216 is: 678,873.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,434.50 : 314,216 = 314,216 : x
  2. Step 2: Convert to fraction form
    145,434.50/314,216 = 314,216/x
  3. Step 3: Cross multiply
    145,434.50x = 314,216 × 314,216
  4. Step 4: Simplify right side
    145,434.50x = 98,731,694,656
  5. Step 5: Solve for x
    x = 98,731,694,656/145,434.50
  6. Step 6: Final answer
    x = 678,873.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.