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Finding the Third Proportional to 118,314.75 and 256,591.88

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Solution

The third proportional to 118,314.75 and 256,591.88 is: 556,476.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,314.75 : 256,591.88 = 256,591.88 : x
  2. Step 2: Convert to fraction form
    118,314.75/256,591.88 = 256,591.88/x
  3. Step 3: Cross multiply
    118,314.75x = 256,591.88 × 256,591.88
  4. Step 4: Simplify right side
    118,314.75x = 65,839,390,316.02
  5. Step 5: Solve for x
    x = 65,839,390,316.02/118,314.75
  6. Step 6: Final answer
    x = 556,476.60

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Why These Related Problems?

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