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Finding the Third Proportional to 177,624 and 380,440

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Solution

The third proportional to 177,624 and 380,440 is: 814,836.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,624 : 380,440 = 380,440 : x
  2. Step 2: Convert to fraction form
    177,624/380,440 = 380,440/x
  3. Step 3: Cross multiply
    177,624x = 380,440 × 380,440
  4. Step 4: Simplify right side
    177,624x = 144,734,593,600
  5. Step 5: Solve for x
    x = 144,734,593,600/177,624
  6. Step 6: Final answer
    x = 814,836.92

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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.