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Finding the Third Proportional to 150,854 and 297,902

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Solution

The third proportional to 150,854 and 297,902 is: 588,288.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,854 : 297,902 = 297,902 : x
  2. Step 2: Convert to fraction form
    150,854/297,902 = 297,902/x
  3. Step 3: Cross multiply
    150,854x = 297,902 × 297,902
  4. Step 4: Simplify right side
    150,854x = 88,745,601,604
  5. Step 5: Solve for x
    x = 88,745,601,604/150,854
  6. Step 6: Final answer
    x = 588,288.02

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.