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Finding the Third Proportional to 117,272.25 and 276,562.13

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Solution

The third proportional to 117,272.25 and 276,562.13 is: 652,214.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,272.25 : 276,562.13 = 276,562.13 : x
  2. Step 2: Convert to fraction form
    117,272.25/276,562.13 = 276,562.13/x
  3. Step 3: Cross multiply
    117,272.25x = 276,562.13 × 276,562.13
  4. Step 4: Simplify right side
    117,272.25x = 76,486,608,984.52
  5. Step 5: Solve for x
    x = 76,486,608,984.52/117,272.25
  6. Step 6: Final answer
    x = 652,214.05

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.