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Finding the Third Proportional to 142,171.50 and 300,651

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Solution

The third proportional to 142,171.50 and 300,651 is: 635,788.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,171.50 : 300,651 = 300,651 : x
  2. Step 2: Convert to fraction form
    142,171.50/300,651 = 300,651/x
  3. Step 3: Cross multiply
    142,171.50x = 300,651 × 300,651
  4. Step 4: Simplify right side
    142,171.50x = 90,391,023,801
  5. Step 5: Solve for x
    x = 90,391,023,801/142,171.50
  6. Step 6: Final answer
    x = 635,788.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.