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Finding the Third Proportional to 166,332.38 and 254,487.38

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Solution

The third proportional to 166,332.38 and 254,487.38 is: 389,363.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,332.38 : 254,487.38 = 254,487.38 : x
  2. Step 2: Convert to fraction form
    166,332.38/254,487.38 = 254,487.38/x
  3. Step 3: Cross multiply
    166,332.38x = 254,487.38 × 254,487.38
  4. Step 4: Simplify right side
    166,332.38x = 64,763,824,034.39
  5. Step 5: Solve for x
    x = 64,763,824,034.39/166,332.38
  6. Step 6: Final answer
    x = 389,363.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.