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Finding the Third Proportional to 118,199.25 and 256,061.25

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Solution

The third proportional to 118,199.25 and 256,061.25 is: 554,718.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,199.25 : 256,061.25 = 256,061.25 : x
  2. Step 2: Convert to fraction form
    118,199.25/256,061.25 = 256,061.25/x
  3. Step 3: Cross multiply
    118,199.25x = 256,061.25 × 256,061.25
  4. Step 4: Simplify right side
    118,199.25x = 65,567,363,751.56
  5. Step 5: Solve for x
    x = 65,567,363,751.56/118,199.25
  6. Step 6: Final answer
    x = 554,718.95

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.