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Finding the Third Proportional to 150,515 and 326,941

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Solution

The third proportional to 150,515 and 326,941 is: 710,164.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,515 : 326,941 = 326,941 : x
  2. Step 2: Convert to fraction form
    150,515/326,941 = 326,941/x
  3. Step 3: Cross multiply
    150,515x = 326,941 × 326,941
  4. Step 4: Simplify right side
    150,515x = 106,890,417,481
  5. Step 5: Solve for x
    x = 106,890,417,481/150,515
  6. Step 6: Final answer
    x = 710,164.55

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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.