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Finding the Third Proportional to 118,251 and 253,998

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Solution

The third proportional to 118,251 and 253,998 is: 545,576.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,251 : 253,998 = 253,998 : x
  2. Step 2: Convert to fraction form
    118,251/253,998 = 253,998/x
  3. Step 3: Cross multiply
    118,251x = 253,998 × 253,998
  4. Step 4: Simplify right side
    118,251x = 64,514,984,004
  5. Step 5: Solve for x
    x = 64,514,984,004/118,251
  6. Step 6: Final answer
    x = 545,576.65

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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.