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Finding the Third Proportional to 250,003.13 and 381,155.63

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Solution

The third proportional to 250,003.13 and 381,155.63 is: 581,111.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,003.13 : 381,155.63 = 381,155.63 : x
  2. Step 2: Convert to fraction form
    250,003.13/381,155.63 = 381,155.63/x
  3. Step 3: Cross multiply
    250,003.13x = 381,155.63 × 381,155.63
  4. Step 4: Simplify right side
    250,003.13x = 145,279,610,469.14
  5. Step 5: Solve for x
    x = 145,279,610,469.14/250,003.13
  6. Step 6: Final answer
    x = 581,111.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.