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Finding the Third Proportional to 110,854.69 and 251,302.78

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Solution

The third proportional to 110,854.69 and 251,302.78 is: 569,692.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,854.69 : 251,302.78 = 251,302.78 : x
  2. Step 2: Convert to fraction form
    110,854.69/251,302.78 = 251,302.78/x
  3. Step 3: Cross multiply
    110,854.69x = 251,302.78 × 251,302.78
  4. Step 4: Simplify right side
    110,854.69x = 63,153,087,863.99
  5. Step 5: Solve for x
    x = 63,153,087,863.99/110,854.69
  6. Step 6: Final answer
    x = 569,692.53

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.