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Finding the Third Proportional to 157,532 and 239,212

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Solution

The third proportional to 157,532 and 239,212 is: 363,242.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,532 : 239,212 = 239,212 : x
  2. Step 2: Convert to fraction form
    157,532/239,212 = 239,212/x
  3. Step 3: Cross multiply
    157,532x = 239,212 × 239,212
  4. Step 4: Simplify right side
    157,532x = 57,222,380,944
  5. Step 5: Solve for x
    x = 57,222,380,944/157,532
  6. Step 6: Final answer
    x = 363,242.90

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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.