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Finding the Third Proportional to 118,291.88 and 256,548.75

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Solution

The third proportional to 118,291.88 and 256,548.75 is: 556,397.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,291.88 : 256,548.75 = 256,548.75 : x
  2. Step 2: Convert to fraction form
    118,291.88/256,548.75 = 256,548.75/x
  3. Step 3: Cross multiply
    118,291.88x = 256,548.75 × 256,548.75
  4. Step 4: Simplify right side
    118,291.88x = 65,817,261,126.56
  5. Step 5: Solve for x
    x = 65,817,261,126.56/118,291.88
  6. Step 6: Final answer
    x = 556,397.14

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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.