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Finding the Third Proportional to 157,622 and 242,267

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Solution

The third proportional to 157,622 and 242,267 is: 372,367.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,622 : 242,267 = 242,267 : x
  2. Step 2: Convert to fraction form
    157,622/242,267 = 242,267/x
  3. Step 3: Cross multiply
    157,622x = 242,267 × 242,267
  4. Step 4: Simplify right side
    157,622x = 58,693,299,289
  5. Step 5: Solve for x
    x = 58,693,299,289/157,622
  6. Step 6: Final answer
    x = 372,367.43

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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.