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Finding the Third Proportional to 152,611 and 232,471

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Solution

The third proportional to 152,611 and 232,471 is: 354,121.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,611 : 232,471 = 232,471 : x
  2. Step 2: Convert to fraction form
    152,611/232,471 = 232,471/x
  3. Step 3: Cross multiply
    152,611x = 232,471 × 232,471
  4. Step 4: Simplify right side
    152,611x = 54,042,765,841
  5. Step 5: Solve for x
    x = 54,042,765,841/152,611
  6. Step 6: Final answer
    x = 354,121.04

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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.