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Finding the Third Proportional to 132,552 and 290,304

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Solution

The third proportional to 132,552 and 290,304 is: 635,798.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,552 : 290,304 = 290,304 : x
  2. Step 2: Convert to fraction form
    132,552/290,304 = 290,304/x
  3. Step 3: Cross multiply
    132,552x = 290,304 × 290,304
  4. Step 4: Simplify right side
    132,552x = 84,276,412,416
  5. Step 5: Solve for x
    x = 84,276,412,416/132,552
  6. Step 6: Final answer
    x = 635,798.87

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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.