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Finding the Third Proportional to 117,600.75 and 257,717.25

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Solution

The third proportional to 117,600.75 and 257,717.25 is: 564,776.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,600.75 : 257,717.25 = 257,717.25 : x
  2. Step 2: Convert to fraction form
    117,600.75/257,717.25 = 257,717.25/x
  3. Step 3: Cross multiply
    117,600.75x = 257,717.25 × 257,717.25
  4. Step 4: Simplify right side
    117,600.75x = 66,418,180,947.56
  5. Step 5: Solve for x
    x = 66,418,180,947.56/117,600.75
  6. Step 6: Final answer
    x = 564,776.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.