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Finding the Third Proportional to 117,452 and 250,294

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Solution

The third proportional to 117,452 and 250,294 is: 533,384.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,452 : 250,294 = 250,294 : x
  2. Step 2: Convert to fraction form
    117,452/250,294 = 250,294/x
  3. Step 3: Cross multiply
    117,452x = 250,294 × 250,294
  4. Step 4: Simplify right side
    117,452x = 62,647,086,436
  5. Step 5: Solve for x
    x = 62,647,086,436/117,452
  6. Step 6: Final answer
    x = 533,384.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.