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Finding the Third Proportional to 157,729.88 and 238,474.27

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Solution

The third proportional to 157,729.88 and 238,474.27 is: 360,552.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,729.88 : 238,474.27 = 238,474.27 : x
  2. Step 2: Convert to fraction form
    157,729.88/238,474.27 = 238,474.27/x
  3. Step 3: Cross multiply
    157,729.88x = 238,474.27 × 238,474.27
  4. Step 4: Simplify right side
    157,729.88x = 56,869,975,365.38
  5. Step 5: Solve for x
    x = 56,869,975,365.38/157,729.88
  6. Step 6: Final answer
    x = 360,552.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.