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Finding the Third Proportional to 121,327 and 260,217

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Solution

The third proportional to 121,327 and 260,217 is: 558,102.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,327 : 260,217 = 260,217 : x
  2. Step 2: Convert to fraction form
    121,327/260,217 = 260,217/x
  3. Step 3: Cross multiply
    121,327x = 260,217 × 260,217
  4. Step 4: Simplify right side
    121,327x = 67,712,887,089
  5. Step 5: Solve for x
    x = 67,712,887,089/121,327
  6. Step 6: Final answer
    x = 558,102.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.