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Finding the Third Proportional to 113,783 and 247,625

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Solution

The third proportional to 113,783 and 247,625 is: 538,904.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,783 : 247,625 = 247,625 : x
  2. Step 2: Convert to fraction form
    113,783/247,625 = 247,625/x
  3. Step 3: Cross multiply
    113,783x = 247,625 × 247,625
  4. Step 4: Simplify right side
    113,783x = 61,318,140,625
  5. Step 5: Solve for x
    x = 61,318,140,625/113,783
  6. Step 6: Final answer
    x = 538,904.24

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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.