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Finding the Third Proportional to 140,974 and 207,566

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Solution

The third proportional to 140,974 and 207,566 is: 305,614.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,974 : 207,566 = 207,566 : x
  2. Step 2: Convert to fraction form
    140,974/207,566 = 207,566/x
  3. Step 3: Cross multiply
    140,974x = 207,566 × 207,566
  4. Step 4: Simplify right side
    140,974x = 43,083,644,356
  5. Step 5: Solve for x
    x = 43,083,644,356/140,974
  6. Step 6: Final answer
    x = 305,614.12

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Why These Related Problems?

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