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Finding the Third Proportional to 118,338.75 and 258,360.75

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Solution

The third proportional to 118,338.75 and 258,360.75 is: 564,061.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,338.75 : 258,360.75 = 258,360.75 : x
  2. Step 2: Convert to fraction form
    118,338.75/258,360.75 = 258,360.75/x
  3. Step 3: Cross multiply
    118,338.75x = 258,360.75 × 258,360.75
  4. Step 4: Simplify right side
    118,338.75x = 66,750,277,140.56
  5. Step 5: Solve for x
    x = 66,750,277,140.56/118,338.75
  6. Step 6: Final answer
    x = 564,061.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.