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Finding the Third Proportional to 114,027.75 and 242,407.69

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Solution

The third proportional to 114,027.75 and 242,407.69 is: 515,326.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,027.75 : 242,407.69 = 242,407.69 : x
  2. Step 2: Convert to fraction form
    114,027.75/242,407.69 = 242,407.69/x
  3. Step 3: Cross multiply
    114,027.75x = 242,407.69 × 242,407.69
  4. Step 4: Simplify right side
    114,027.75x = 58,761,486,959.10
  5. Step 5: Solve for x
    x = 58,761,486,959.10/114,027.75
  6. Step 6: Final answer
    x = 515,326.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.