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Finding the Third Proportional to 115,306 and 250,294

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Solution

The third proportional to 115,306 and 250,294 is: 543,311.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,306 : 250,294 = 250,294 : x
  2. Step 2: Convert to fraction form
    115,306/250,294 = 250,294/x
  3. Step 3: Cross multiply
    115,306x = 250,294 × 250,294
  4. Step 4: Simplify right side
    115,306x = 62,647,086,436
  5. Step 5: Solve for x
    x = 62,647,086,436/115,306
  6. Step 6: Final answer
    x = 543,311.59

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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.