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Finding the Third Proportional to 177,555 and 380,382

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Solution

The third proportional to 177,555 and 380,382 is: 814,905.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,555 : 380,382 = 380,382 : x
  2. Step 2: Convert to fraction form
    177,555/380,382 = 380,382/x
  3. Step 3: Cross multiply
    177,555x = 380,382 × 380,382
  4. Step 4: Simplify right side
    177,555x = 144,690,465,924
  5. Step 5: Solve for x
    x = 144,690,465,924/177,555
  6. Step 6: Final answer
    x = 814,905.05

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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.