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Finding the Third Proportional to 171,332 and 251,149

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Solution

The third proportional to 171,332 and 251,149 is: 368,149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,332 : 251,149 = 251,149 : x
  2. Step 2: Convert to fraction form
    171,332/251,149 = 251,149/x
  3. Step 3: Cross multiply
    171,332x = 251,149 × 251,149
  4. Step 4: Simplify right side
    171,332x = 63,075,820,201
  5. Step 5: Solve for x
    x = 63,075,820,201/171,332
  6. Step 6: Final answer
    x = 368,149.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.