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Finding the Third Proportional to 177,514 and 330,514

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Solution

The third proportional to 177,514 and 330,514 is: 615,385.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,514 : 330,514 = 330,514 : x
  2. Step 2: Convert to fraction form
    177,514/330,514 = 330,514/x
  3. Step 3: Cross multiply
    177,514x = 330,514 × 330,514
  4. Step 4: Simplify right side
    177,514x = 109,239,504,196
  5. Step 5: Solve for x
    x = 109,239,504,196/177,514
  6. Step 6: Final answer
    x = 615,385.29

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.