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Finding the Third Proportional to 181,124 and 250,262

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Solution

The third proportional to 181,124 and 250,262 is: 345,791.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,124 : 250,262 = 250,262 : x
  2. Step 2: Convert to fraction form
    181,124/250,262 = 250,262/x
  3. Step 3: Cross multiply
    181,124x = 250,262 × 250,262
  4. Step 4: Simplify right side
    181,124x = 62,631,068,644
  5. Step 5: Solve for x
    x = 62,631,068,644/181,124
  6. Step 6: Final answer
    x = 345,791.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.