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Finding the Third Proportional to 168,687 and 254,142

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Solution

The third proportional to 168,687 and 254,142 is: 382,887.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,687 : 254,142 = 254,142 : x
  2. Step 2: Convert to fraction form
    168,687/254,142 = 254,142/x
  3. Step 3: Cross multiply
    168,687x = 254,142 × 254,142
  4. Step 4: Simplify right side
    168,687x = 64,588,156,164
  5. Step 5: Solve for x
    x = 64,588,156,164/168,687
  6. Step 6: Final answer
    x = 382,887.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.