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Finding the Third Proportional to 207,614 and 310,339

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Solution

The third proportional to 207,614 and 310,339 is: 463,891.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,614 : 310,339 = 310,339 : x
  2. Step 2: Convert to fraction form
    207,614/310,339 = 310,339/x
  3. Step 3: Cross multiply
    207,614x = 310,339 × 310,339
  4. Step 4: Simplify right side
    207,614x = 96,310,294,921
  5. Step 5: Solve for x
    x = 96,310,294,921/207,614
  6. Step 6: Final answer
    x = 463,891.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.