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Finding the Third Proportional to 113,436 and 247,296

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Solution

The third proportional to 113,436 and 247,296 is: 539,117.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,436 : 247,296 = 247,296 : x
  2. Step 2: Convert to fraction form
    113,436/247,296 = 247,296/x
  3. Step 3: Cross multiply
    113,436x = 247,296 × 247,296
  4. Step 4: Simplify right side
    113,436x = 61,155,311,616
  5. Step 5: Solve for x
    x = 61,155,311,616/113,436
  6. Step 6: Final answer
    x = 539,117.31

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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.