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Finding the Third Proportional to 123,514.50 and 251,403

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Solution

The third proportional to 123,514.50 and 251,403 is: 511,708.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,514.50 : 251,403 = 251,403 : x
  2. Step 2: Convert to fraction form
    123,514.50/251,403 = 251,403/x
  3. Step 3: Cross multiply
    123,514.50x = 251,403 × 251,403
  4. Step 4: Simplify right side
    123,514.50x = 63,203,468,409
  5. Step 5: Solve for x
    x = 63,203,468,409/123,514.50
  6. Step 6: Final answer
    x = 511,708.90

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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.