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Finding the Third Proportional to 105,335.25 and 230,377.13

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Solution

The third proportional to 105,335.25 and 230,377.13 is: 503,854.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,335.25 : 230,377.13 = 230,377.13 : x
  2. Step 2: Convert to fraction form
    105,335.25/230,377.13 = 230,377.13/x
  3. Step 3: Cross multiply
    105,335.25x = 230,377.13 × 230,377.13
  4. Step 4: Simplify right side
    105,335.25x = 53,073,619,723.27
  5. Step 5: Solve for x
    x = 53,073,619,723.27/105,335.25
  6. Step 6: Final answer
    x = 503,854.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.