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Finding the Third Proportional to 175,048 and 381,776

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Solution

The third proportional to 175,048 and 381,776 is: 832,645.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,048 : 381,776 = 381,776 : x
  2. Step 2: Convert to fraction form
    175,048/381,776 = 381,776/x
  3. Step 3: Cross multiply
    175,048x = 381,776 × 381,776
  4. Step 4: Simplify right side
    175,048x = 145,752,914,176
  5. Step 5: Solve for x
    x = 145,752,914,176/175,048
  6. Step 6: Final answer
    x = 832,645.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.