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Finding the Third Proportional to 259,759.13 and 375,868.13

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Solution

The third proportional to 259,759.13 and 375,868.13 is: 543,876.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,759.13 : 375,868.13 = 375,868.13 : x
  2. Step 2: Convert to fraction form
    259,759.13/375,868.13 = 375,868.13/x
  3. Step 3: Cross multiply
    259,759.13x = 375,868.13 × 375,868.13
  4. Step 4: Simplify right side
    259,759.13x = 141,276,847,391.02
  5. Step 5: Solve for x
    x = 141,276,847,391.02/259,759.13
  6. Step 6: Final answer
    x = 543,876.36

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.