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Finding the Third Proportional to 166,449.38 and 359,500.78

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Solution

The third proportional to 166,449.38 and 359,500.78 is: 776,457.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,449.38 : 359,500.78 = 359,500.78 : x
  2. Step 2: Convert to fraction form
    166,449.38/359,500.78 = 359,500.78/x
  3. Step 3: Cross multiply
    166,449.38x = 359,500.78 × 359,500.78
  4. Step 4: Simplify right side
    166,449.38x = 129,240,811,719.36
  5. Step 5: Solve for x
    x = 129,240,811,719.36/166,449.38
  6. Step 6: Final answer
    x = 776,457.18

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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.