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Finding the Third Proportional to 123,513 and 251,400

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Solution

The third proportional to 123,513 and 251,400 is: 511,702.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,513 : 251,400 = 251,400 : x
  2. Step 2: Convert to fraction form
    123,513/251,400 = 251,400/x
  3. Step 3: Cross multiply
    123,513x = 251,400 × 251,400
  4. Step 4: Simplify right side
    123,513x = 63,201,960,000
  5. Step 5: Solve for x
    x = 63,201,960,000/123,513
  6. Step 6: Final answer
    x = 511,702.90

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.