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Finding the Third Proportional to 118,499 and 253,675

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Solution

The third proportional to 118,499 and 253,675 is: 543,051.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,499 : 253,675 = 253,675 : x
  2. Step 2: Convert to fraction form
    118,499/253,675 = 253,675/x
  3. Step 3: Cross multiply
    118,499x = 253,675 × 253,675
  4. Step 4: Simplify right side
    118,499x = 64,351,005,625
  5. Step 5: Solve for x
    x = 64,351,005,625/118,499
  6. Step 6: Final answer
    x = 543,051.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.