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Finding the Third Proportional to 118,349.50 and 166,466

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Solution

The third proportional to 118,349.50 and 166,466 is: 234,144.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,349.50 : 166,466 = 166,466 : x
  2. Step 2: Convert to fraction form
    118,349.50/166,466 = 166,466/x
  3. Step 3: Cross multiply
    118,349.50x = 166,466 × 166,466
  4. Step 4: Simplify right side
    118,349.50x = 27,710,929,156
  5. Step 5: Solve for x
    x = 27,710,929,156/118,349.50
  6. Step 6: Final answer
    x = 234,144.88

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