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Finding the Third Proportional to 118,480 and 166,663

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Solution

The third proportional to 118,480 and 166,663 is: 234,440.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,480 : 166,663 = 166,663 : x
  2. Step 2: Convert to fraction form
    118,480/166,663 = 166,663/x
  3. Step 3: Cross multiply
    118,480x = 166,663 × 166,663
  4. Step 4: Simplify right side
    118,480x = 27,776,555,569
  5. Step 5: Solve for x
    x = 27,776,555,569/118,480
  6. Step 6: Final answer
    x = 234,440.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.