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Finding the Third Proportional to 113,948 and 247,336

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Solution

The third proportional to 113,948 and 247,336 is: 536,868.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,948 : 247,336 = 247,336 : x
  2. Step 2: Convert to fraction form
    113,948/247,336 = 247,336/x
  3. Step 3: Cross multiply
    113,948x = 247,336 × 247,336
  4. Step 4: Simplify right side
    113,948x = 61,175,096,896
  5. Step 5: Solve for x
    x = 61,175,096,896/113,948
  6. Step 6: Final answer
    x = 536,868.54

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Why These Related Problems?

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