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Finding the Third Proportional to 137,468 and 291,217

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Solution

The third proportional to 137,468 and 291,217 is: 616,924.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,468 : 291,217 = 291,217 : x
  2. Step 2: Convert to fraction form
    137,468/291,217 = 291,217/x
  3. Step 3: Cross multiply
    137,468x = 291,217 × 291,217
  4. Step 4: Simplify right side
    137,468x = 84,807,341,089
  5. Step 5: Solve for x
    x = 84,807,341,089/137,468
  6. Step 6: Final answer
    x = 616,924.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.