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Finding the Third Proportional to 140,711 and 301,105

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Solution

The third proportional to 140,711 and 301,105 is: 644,329.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,711 : 301,105 = 301,105 : x
  2. Step 2: Convert to fraction form
    140,711/301,105 = 301,105/x
  3. Step 3: Cross multiply
    140,711x = 301,105 × 301,105
  4. Step 4: Simplify right side
    140,711x = 90,664,221,025
  5. Step 5: Solve for x
    x = 90,664,221,025/140,711
  6. Step 6: Final answer
    x = 644,329.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.