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Finding the Third Proportional to 118,245 and 253,986

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Solution

The third proportional to 118,245 and 253,986 is: 545,552.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,245 : 253,986 = 253,986 : x
  2. Step 2: Convert to fraction form
    118,245/253,986 = 253,986/x
  3. Step 3: Cross multiply
    118,245x = 253,986 × 253,986
  4. Step 4: Simplify right side
    118,245x = 64,508,888,196
  5. Step 5: Solve for x
    x = 64,508,888,196/118,245
  6. Step 6: Final answer
    x = 545,552.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.