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Finding the Third Proportional to 140,971 and 309,981.25

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Solution

The third proportional to 140,971 and 309,981.25 is: 681,618.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,971 : 309,981.25 = 309,981.25 : x
  2. Step 2: Convert to fraction form
    140,971/309,981.25 = 309,981.25/x
  3. Step 3: Cross multiply
    140,971x = 309,981.25 × 309,981.25
  4. Step 4: Simplify right side
    140,971x = 96,088,375,351.56
  5. Step 5: Solve for x
    x = 96,088,375,351.56/140,971
  6. Step 6: Final answer
    x = 681,618.03

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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.