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Finding the Third Proportional to 150,471 and 326,859

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Solution

The third proportional to 150,471 and 326,859 is: 710,015.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,471 : 326,859 = 326,859 : x
  2. Step 2: Convert to fraction form
    150,471/326,859 = 326,859/x
  3. Step 3: Cross multiply
    150,471x = 326,859 × 326,859
  4. Step 4: Simplify right side
    150,471x = 106,836,805,881
  5. Step 5: Solve for x
    x = 106,836,805,881/150,471
  6. Step 6: Final answer
    x = 710,015.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.