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Finding the Third Proportional to 166,416 and 251,748

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Solution

The third proportional to 166,416 and 251,748 is: 380,835.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,416 : 251,748 = 251,748 : x
  2. Step 2: Convert to fraction form
    166,416/251,748 = 251,748/x
  3. Step 3: Cross multiply
    166,416x = 251,748 × 251,748
  4. Step 4: Simplify right side
    166,416x = 63,377,055,504
  5. Step 5: Solve for x
    x = 63,377,055,504/166,416
  6. Step 6: Final answer
    x = 380,835.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.