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Finding the Third Proportional to 157,624 and 242,270

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Solution

The third proportional to 157,624 and 242,270 is: 372,371.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,624 : 242,270 = 242,270 : x
  2. Step 2: Convert to fraction form
    157,624/242,270 = 242,270/x
  3. Step 3: Cross multiply
    157,624x = 242,270 × 242,270
  4. Step 4: Simplify right side
    157,624x = 58,694,752,900
  5. Step 5: Solve for x
    x = 58,694,752,900/157,624
  6. Step 6: Final answer
    x = 372,371.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.