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Finding the Third Proportional to 133,074 and 288,531

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Solution

The third proportional to 133,074 and 288,531 is: 625,592.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,074 : 288,531 = 288,531 : x
  2. Step 2: Convert to fraction form
    133,074/288,531 = 288,531/x
  3. Step 3: Cross multiply
    133,074x = 288,531 × 288,531
  4. Step 4: Simplify right side
    133,074x = 83,250,137,961
  5. Step 5: Solve for x
    x = 83,250,137,961/133,074
  6. Step 6: Final answer
    x = 625,592.81

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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.