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Finding the Third Proportional to 156,982 and 224,192

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Solution

The third proportional to 156,982 and 224,192 is: 320,177.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,982 : 224,192 = 224,192 : x
  2. Step 2: Convert to fraction form
    156,982/224,192 = 224,192/x
  3. Step 3: Cross multiply
    156,982x = 224,192 × 224,192
  4. Step 4: Simplify right side
    156,982x = 50,262,052,864
  5. Step 5: Solve for x
    x = 50,262,052,864/156,982
  6. Step 6: Final answer
    x = 320,177.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.