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Finding the Third Proportional to 199,550 and 291,542

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Solution

The third proportional to 199,550 and 291,542 is: 425,942.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,550 : 291,542 = 291,542 : x
  2. Step 2: Convert to fraction form
    199,550/291,542 = 291,542/x
  3. Step 3: Cross multiply
    199,550x = 291,542 × 291,542
  4. Step 4: Simplify right side
    199,550x = 84,996,737,764
  5. Step 5: Solve for x
    x = 84,996,737,764/199,550
  6. Step 6: Final answer
    x = 425,942.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.