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Finding the Third Proportional to 140,571 and 309,942

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Solution

The third proportional to 140,571 and 309,942 is: 683,384.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,571 : 309,942 = 309,942 : x
  2. Step 2: Convert to fraction form
    140,571/309,942 = 309,942/x
  3. Step 3: Cross multiply
    140,571x = 309,942 × 309,942
  4. Step 4: Simplify right side
    140,571x = 96,064,043,364
  5. Step 5: Solve for x
    x = 96,064,043,364/140,571
  6. Step 6: Final answer
    x = 683,384.51

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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.