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Finding the Third Proportional to 140,565 and 309,930

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Solution

The third proportional to 140,565 and 309,930 is: 683,360.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,565 : 309,930 = 309,930 : x
  2. Step 2: Convert to fraction form
    140,565/309,930 = 309,930/x
  3. Step 3: Cross multiply
    140,565x = 309,930 × 309,930
  4. Step 4: Simplify right side
    140,565x = 96,056,604,900
  5. Step 5: Solve for x
    x = 96,056,604,900/140,565
  6. Step 6: Final answer
    x = 683,360.76

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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.