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Finding the Third Proportional to 152,605 and 232,458

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Solution

The third proportional to 152,605 and 232,458 is: 354,095.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,605 : 232,458 = 232,458 : x
  2. Step 2: Convert to fraction form
    152,605/232,458 = 232,458/x
  3. Step 3: Cross multiply
    152,605x = 232,458 × 232,458
  4. Step 4: Simplify right side
    152,605x = 54,036,721,764
  5. Step 5: Solve for x
    x = 54,036,721,764/152,605
  6. Step 6: Final answer
    x = 354,095.36

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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.