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Finding the Third Proportional to 133,982 and 291,292

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Solution

The third proportional to 133,982 and 291,292 is: 633,301.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,982 : 291,292 = 291,292 : x
  2. Step 2: Convert to fraction form
    133,982/291,292 = 291,292/x
  3. Step 3: Cross multiply
    133,982x = 291,292 × 291,292
  4. Step 4: Simplify right side
    133,982x = 84,851,029,264
  5. Step 5: Solve for x
    x = 84,851,029,264/133,982
  6. Step 6: Final answer
    x = 633,301.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.