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Finding the Third Proportional to 231,352.14 and 314,159.13

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Solution

The third proportional to 231,352.14 and 314,159.13 is: 426,604.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,352.14 : 314,159.13 = 314,159.13 : x
  2. Step 2: Convert to fraction form
    231,352.14/314,159.13 = 314,159.13/x
  3. Step 3: Cross multiply
    231,352.14x = 314,159.13 × 314,159.13
  4. Step 4: Simplify right side
    231,352.14x = 98,695,960,729.50
  5. Step 5: Solve for x
    x = 98,695,960,729.50/231,352.14
  6. Step 6: Final answer
    x = 426,604.92

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.