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Finding the Third Proportional to 151,744 and 331,514

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Solution

The third proportional to 151,744 and 331,514 is: 724,256.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,744 : 331,514 = 331,514 : x
  2. Step 2: Convert to fraction form
    151,744/331,514 = 331,514/x
  3. Step 3: Cross multiply
    151,744x = 331,514 × 331,514
  4. Step 4: Simplify right side
    151,744x = 109,901,532,196
  5. Step 5: Solve for x
    x = 109,901,532,196/151,744
  6. Step 6: Final answer
    x = 724,256.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.