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Finding the Third Proportional to 177,649 and 375,257

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Solution

The third proportional to 177,649 and 375,257 is: 792,674.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,649 : 375,257 = 375,257 : x
  2. Step 2: Convert to fraction form
    177,649/375,257 = 375,257/x
  3. Step 3: Cross multiply
    177,649x = 375,257 × 375,257
  4. Step 4: Simplify right side
    177,649x = 140,817,816,049
  5. Step 5: Solve for x
    x = 140,817,816,049/177,649
  6. Step 6: Final answer
    x = 792,674.41

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.