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Finding the Third Proportional to 114,649 and 237,397

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Solution

The third proportional to 114,649 and 237,397 is: 491,564.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,649 : 237,397 = 237,397 : x
  2. Step 2: Convert to fraction form
    114,649/237,397 = 237,397/x
  3. Step 3: Cross multiply
    114,649x = 237,397 × 237,397
  4. Step 4: Simplify right side
    114,649x = 56,357,335,609
  5. Step 5: Solve for x
    x = 56,357,335,609/114,649
  6. Step 6: Final answer
    x = 491,564.13

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.