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Finding the Third Proportional to 151,944 and 332,514

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Solution

The third proportional to 151,944 and 332,514 is: 727,673.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,944 : 332,514 = 332,514 : x
  2. Step 2: Convert to fraction form
    151,944/332,514 = 332,514/x
  3. Step 3: Cross multiply
    151,944x = 332,514 × 332,514
  4. Step 4: Simplify right side
    151,944x = 110,565,560,196
  5. Step 5: Solve for x
    x = 110,565,560,196/151,944
  6. Step 6: Final answer
    x = 727,673.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.