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Finding the Third Proportional to 175,393.13 and 377,830.13

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Solution

The third proportional to 175,393.13 and 377,830.13 is: 813,917.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,393.13 : 377,830.13 = 377,830.13 : x
  2. Step 2: Convert to fraction form
    175,393.13/377,830.13 = 377,830.13/x
  3. Step 3: Cross multiply
    175,393.13x = 377,830.13 × 377,830.13
  4. Step 4: Simplify right side
    175,393.13x = 142,755,603,357.52
  5. Step 5: Solve for x
    x = 142,755,603,357.52/175,393.13
  6. Step 6: Final answer
    x = 813,917.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.