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Finding the Third Proportional to 113,936 and 245,404

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Solution

The third proportional to 113,936 and 245,404 is: 528,569.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,936 : 245,404 = 245,404 : x
  2. Step 2: Convert to fraction form
    113,936/245,404 = 245,404/x
  3. Step 3: Cross multiply
    113,936x = 245,404 × 245,404
  4. Step 4: Simplify right side
    113,936x = 60,223,123,216
  5. Step 5: Solve for x
    x = 60,223,123,216/113,936
  6. Step 6: Final answer
    x = 528,569.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.