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Finding the Third Proportional to 157,529 and 239,206

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Solution

The third proportional to 157,529 and 239,206 is: 363,231.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,529 : 239,206 = 239,206 : x
  2. Step 2: Convert to fraction form
    157,529/239,206 = 239,206/x
  3. Step 3: Cross multiply
    157,529x = 239,206 × 239,206
  4. Step 4: Simplify right side
    157,529x = 57,219,510,436
  5. Step 5: Solve for x
    x = 57,219,510,436/157,529
  6. Step 6: Final answer
    x = 363,231.60

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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.