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Finding the Third Proportional to 166,254.75 and 251,128.13

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Solution

The third proportional to 166,254.75 and 251,128.13 is: 379,329.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,254.75 : 251,128.13 = 251,128.13 : x
  2. Step 2: Convert to fraction form
    166,254.75/251,128.13 = 251,128.13/x
  3. Step 3: Cross multiply
    166,254.75x = 251,128.13 × 251,128.13
  4. Step 4: Simplify right side
    166,254.75x = 63,065,335,166.02
  5. Step 5: Solve for x
    x = 63,065,335,166.02/166,254.75
  6. Step 6: Final answer
    x = 379,329.52

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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.