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Finding the Third Proportional to 251,180 and 377,332

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Solution

The third proportional to 251,180 and 377,332 is: 566,842.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,180 : 377,332 = 377,332 : x
  2. Step 2: Convert to fraction form
    251,180/377,332 = 377,332/x
  3. Step 3: Cross multiply
    251,180x = 377,332 × 377,332
  4. Step 4: Simplify right side
    251,180x = 142,379,438,224
  5. Step 5: Solve for x
    x = 142,379,438,224/251,180
  6. Step 6: Final answer
    x = 566,842.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.