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Finding the Third Proportional to 117,576.75 and 255,687

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Solution

The third proportional to 117,576.75 and 255,687 is: 556,026.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,576.75 : 255,687 = 255,687 : x
  2. Step 2: Convert to fraction form
    117,576.75/255,687 = 255,687/x
  3. Step 3: Cross multiply
    117,576.75x = 255,687 × 255,687
  4. Step 4: Simplify right side
    117,576.75x = 65,375,841,969
  5. Step 5: Solve for x
    x = 65,375,841,969/117,576.75
  6. Step 6: Final answer
    x = 556,026.95

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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.