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Finding the Third Proportional to 152,600.20 and 232,454.18

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Solution

The third proportional to 152,600.20 and 232,454.18 is: 354,094.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,600.20 : 232,454.18 = 232,454.18 : x
  2. Step 2: Convert to fraction form
    152,600.20/232,454.18 = 232,454.18/x
  3. Step 3: Cross multiply
    152,600.20x = 232,454.18 × 232,454.18
  4. Step 4: Simplify right side
    152,600.20x = 54,034,945,654.19
  5. Step 5: Solve for x
    x = 54,034,945,654.19/152,600.20
  6. Step 6: Final answer
    x = 354,094.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.