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Finding the Third Proportional to 159,181 and 240,821

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Solution

The third proportional to 159,181 and 240,821 is: 364,332.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,181 : 240,821 = 240,821 : x
  2. Step 2: Convert to fraction form
    159,181/240,821 = 240,821/x
  3. Step 3: Cross multiply
    159,181x = 240,821 × 240,821
  4. Step 4: Simplify right side
    159,181x = 57,994,754,041
  5. Step 5: Solve for x
    x = 57,994,754,041/159,181
  6. Step 6: Final answer
    x = 364,332.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.