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Finding the Third Proportional to 166,691.25 and 359,440.88

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Solution

The third proportional to 166,691.25 and 359,440.88 is: 775,072.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,691.25 : 359,440.88 = 359,440.88 : x
  2. Step 2: Convert to fraction form
    166,691.25/359,440.88 = 359,440.88/x
  3. Step 3: Cross multiply
    166,691.25x = 359,440.88 × 359,440.88
  4. Step 4: Simplify right side
    166,691.25x = 129,197,742,620.77
  5. Step 5: Solve for x
    x = 129,197,742,620.77/166,691.25
  6. Step 6: Final answer
    x = 775,072.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.