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Finding the Third Proportional to 113,856 and 247,399.50

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Solution

The third proportional to 113,856 and 247,399.50 is: 537,578.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,856 : 247,399.50 = 247,399.50 : x
  2. Step 2: Convert to fraction form
    113,856/247,399.50 = 247,399.50/x
  3. Step 3: Cross multiply
    113,856x = 247,399.50 × 247,399.50
  4. Step 4: Simplify right side
    113,856x = 61,206,512,600.25
  5. Step 5: Solve for x
    x = 61,206,512,600.25/113,856
  6. Step 6: Final answer
    x = 537,578.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.