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Finding the Third Proportional to 177,371 and 260,869

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Solution

The third proportional to 177,371 and 260,869 is: 383,673.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,371 : 260,869 = 260,869 : x
  2. Step 2: Convert to fraction form
    177,371/260,869 = 260,869/x
  3. Step 3: Cross multiply
    177,371x = 260,869 × 260,869
  4. Step 4: Simplify right side
    177,371x = 68,052,635,161
  5. Step 5: Solve for x
    x = 68,052,635,161/177,371
  6. Step 6: Final answer
    x = 383,673.97

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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.