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Finding the Third Proportional to 151,624 and 237,388

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Solution

The third proportional to 151,624 and 237,388 is: 371,663.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,624 : 237,388 = 237,388 : x
  2. Step 2: Convert to fraction form
    151,624/237,388 = 237,388/x
  3. Step 3: Cross multiply
    151,624x = 237,388 × 237,388
  4. Step 4: Simplify right side
    151,624x = 56,353,062,544
  5. Step 5: Solve for x
    x = 56,353,062,544/151,624
  6. Step 6: Final answer
    x = 371,663.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.