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Finding the Third Proportional to 150,934 and 328,076

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Solution

The third proportional to 150,934 and 328,076 is: 713,118.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,934 : 328,076 = 328,076 : x
  2. Step 2: Convert to fraction form
    150,934/328,076 = 328,076/x
  3. Step 3: Cross multiply
    150,934x = 328,076 × 328,076
  4. Step 4: Simplify right side
    150,934x = 107,633,861,776
  5. Step 5: Solve for x
    x = 107,633,861,776/150,934
  6. Step 6: Final answer
    x = 713,118.73

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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.