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Finding the Third Proportional to 140,976 and 207,570

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Solution

The third proportional to 140,976 and 207,570 is: 305,621.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,976 : 207,570 = 207,570 : x
  2. Step 2: Convert to fraction form
    140,976/207,570 = 207,570/x
  3. Step 3: Cross multiply
    140,976x = 207,570 × 207,570
  4. Step 4: Simplify right side
    140,976x = 43,085,304,900
  5. Step 5: Solve for x
    x = 43,085,304,900/140,976
  6. Step 6: Final answer
    x = 305,621.56

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.