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Finding the Third Proportional to 140,870 and 309,388

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Solution

The third proportional to 140,870 and 309,388 is: 679,498.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,870 : 309,388 = 309,388 : x
  2. Step 2: Convert to fraction form
    140,870/309,388 = 309,388/x
  3. Step 3: Cross multiply
    140,870x = 309,388 × 309,388
  4. Step 4: Simplify right side
    140,870x = 95,720,934,544
  5. Step 5: Solve for x
    x = 95,720,934,544/140,870
  6. Step 6: Final answer
    x = 679,498.36

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.