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Finding the Third Proportional to 132,992 and 291,008

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Solution

The third proportional to 132,992 and 291,008 is: 636,772.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,992 : 291,008 = 291,008 : x
  2. Step 2: Convert to fraction form
    132,992/291,008 = 291,008/x
  3. Step 3: Cross multiply
    132,992x = 291,008 × 291,008
  4. Step 4: Simplify right side
    132,992x = 84,685,656,064
  5. Step 5: Solve for x
    x = 84,685,656,064/132,992
  6. Step 6: Final answer
    x = 636,772.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.