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Finding the Third Proportional to 141,514 and 305,424

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Solution

The third proportional to 141,514 and 305,424 is: 659,184.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,514 : 305,424 = 305,424 : x
  2. Step 2: Convert to fraction form
    141,514/305,424 = 305,424/x
  3. Step 3: Cross multiply
    141,514x = 305,424 × 305,424
  4. Step 4: Simplify right side
    141,514x = 93,283,819,776
  5. Step 5: Solve for x
    x = 93,283,819,776/141,514
  6. Step 6: Final answer
    x = 659,184.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.