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Finding the Third Proportional to 176,752.50 and 381,759

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Solution

The third proportional to 176,752.50 and 381,759 is: 824,542.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,752.50 : 381,759 = 381,759 : x
  2. Step 2: Convert to fraction form
    176,752.50/381,759 = 381,759/x
  3. Step 3: Cross multiply
    176,752.50x = 381,759 × 381,759
  4. Step 4: Simplify right side
    176,752.50x = 145,739,934,081
  5. Step 5: Solve for x
    x = 145,739,934,081/176,752.50
  6. Step 6: Final answer
    x = 824,542.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.