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Finding the Third Proportional to 152,098 and 236,744

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Solution

The third proportional to 152,098 and 236,744 is: 368,497.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,098 : 236,744 = 236,744 : x
  2. Step 2: Convert to fraction form
    152,098/236,744 = 236,744/x
  3. Step 3: Cross multiply
    152,098x = 236,744 × 236,744
  4. Step 4: Simplify right side
    152,098x = 56,047,721,536
  5. Step 5: Solve for x
    x = 56,047,721,536/152,098
  6. Step 6: Final answer
    x = 368,497.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.