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Finding the Third Proportional to 157,536 and 239,544

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Solution

The third proportional to 157,536 and 239,544 is: 364,242.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,536 : 239,544 = 239,544 : x
  2. Step 2: Convert to fraction form
    157,536/239,544 = 239,544/x
  3. Step 3: Cross multiply
    157,536x = 239,544 × 239,544
  4. Step 4: Simplify right side
    157,536x = 57,381,327,936
  5. Step 5: Solve for x
    x = 57,381,327,936/157,536
  6. Step 6: Final answer
    x = 364,242.64

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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.