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Finding the Third Proportional to 112,824.50 and 247,788.50

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Solution

The third proportional to 112,824.50 and 247,788.50 is: 544,200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,824.50 : 247,788.50 = 247,788.50 : x
  2. Step 2: Convert to fraction form
    112,824.50/247,788.50 = 247,788.50/x
  3. Step 3: Cross multiply
    112,824.50x = 247,788.50 × 247,788.50
  4. Step 4: Simplify right side
    112,824.50x = 61,399,140,732.25
  5. Step 5: Solve for x
    x = 61,399,140,732.25/112,824.50
  6. Step 6: Final answer
    x = 544,200.42

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.