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Finding the Third Proportional to 113,555.25 and 204,909.75

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Solution

The third proportional to 113,555.25 and 204,909.75 is: 369,758.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,555.25 : 204,909.75 = 204,909.75 : x
  2. Step 2: Convert to fraction form
    113,555.25/204,909.75 = 204,909.75/x
  3. Step 3: Cross multiply
    113,555.25x = 204,909.75 × 204,909.75
  4. Step 4: Simplify right side
    113,555.25x = 41,988,005,645.06
  5. Step 5: Solve for x
    x = 41,988,005,645.06/113,555.25
  6. Step 6: Final answer
    x = 369,758.38

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.