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Finding the Third Proportional to 157,524.19 and 239,572.69

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Solution

The third proportional to 157,524.19 and 239,572.69 is: 364,357.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,524.19 : 239,572.69 = 239,572.69 : x
  2. Step 2: Convert to fraction form
    157,524.19/239,572.69 = 239,572.69/x
  3. Step 3: Cross multiply
    157,524.19x = 239,572.69 × 239,572.69
  4. Step 4: Simplify right side
    157,524.19x = 57,395,072,595.97
  5. Step 5: Solve for x
    x = 57,395,072,595.97/157,524.19
  6. Step 6: Final answer
    x = 364,357.20

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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.