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Finding the Third Proportional to 140,562 and 309,924

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Solution

The third proportional to 140,562 and 309,924 is: 683,348.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,562 : 309,924 = 309,924 : x
  2. Step 2: Convert to fraction form
    140,562/309,924 = 309,924/x
  3. Step 3: Cross multiply
    140,562x = 309,924 × 309,924
  4. Step 4: Simplify right side
    140,562x = 96,052,885,776
  5. Step 5: Solve for x
    x = 96,052,885,776/140,562
  6. Step 6: Final answer
    x = 683,348.88

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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.