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Finding the Third Proportional to 113,965.88 and 247,999.50

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Solution

The third proportional to 113,965.88 and 247,999.50 is: 539,668.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,965.88 : 247,999.50 = 247,999.50 : x
  2. Step 2: Convert to fraction form
    113,965.88/247,999.50 = 247,999.50/x
  3. Step 3: Cross multiply
    113,965.88x = 247,999.50 × 247,999.50
  4. Step 4: Simplify right side
    113,965.88x = 61,503,752,000.25
  5. Step 5: Solve for x
    x = 61,503,752,000.25/113,965.88
  6. Step 6: Final answer
    x = 539,668.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.