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Finding the Third Proportional to 152,098.38 and 238,586.13

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Solution

The third proportional to 152,098.38 and 238,586.13 is: 374,253.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,098.38 : 238,586.13 = 238,586.13 : x
  2. Step 2: Convert to fraction form
    152,098.38/238,586.13 = 238,586.13/x
  3. Step 3: Cross multiply
    152,098.38x = 238,586.13 × 238,586.13
  4. Step 4: Simplify right side
    152,098.38x = 56,923,342,770.42
  5. Step 5: Solve for x
    x = 56,923,342,770.42/152,098.38
  6. Step 6: Final answer
    x = 374,253.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.