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Finding the Third Proportional to 177,732 and 380,478

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Solution

The third proportional to 177,732 and 380,478 is: 814,504.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,732 : 380,478 = 380,478 : x
  2. Step 2: Convert to fraction form
    177,732/380,478 = 380,478/x
  3. Step 3: Cross multiply
    177,732x = 380,478 × 380,478
  4. Step 4: Simplify right side
    177,732x = 144,763,508,484
  5. Step 5: Solve for x
    x = 144,763,508,484/177,732
  6. Step 6: Final answer
    x = 814,504.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.