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Finding the Third Proportional to 140,266 and 301,922

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Solution

The third proportional to 140,266 and 301,922 is: 649,885.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,266 : 301,922 = 301,922 : x
  2. Step 2: Convert to fraction form
    140,266/301,922 = 301,922/x
  3. Step 3: Cross multiply
    140,266x = 301,922 × 301,922
  4. Step 4: Simplify right side
    140,266x = 91,156,894,084
  5. Step 5: Solve for x
    x = 91,156,894,084/140,266
  6. Step 6: Final answer
    x = 649,885.89

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.