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Finding the Third Proportional to 118,868.25 and 256,463.25

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Solution

The third proportional to 118,868.25 and 256,463.25 is: 553,330.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,868.25 : 256,463.25 = 256,463.25 : x
  2. Step 2: Convert to fraction form
    118,868.25/256,463.25 = 256,463.25/x
  3. Step 3: Cross multiply
    118,868.25x = 256,463.25 × 256,463.25
  4. Step 4: Simplify right side
    118,868.25x = 65,773,398,600.56
  5. Step 5: Solve for x
    x = 65,773,398,600.56/118,868.25
  6. Step 6: Final answer
    x = 553,330.25

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.