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Finding the Third Proportional to 150,012 and 328,045

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Solution

The third proportional to 150,012 and 328,045 is: 717,366.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,012 : 328,045 = 328,045 : x
  2. Step 2: Convert to fraction form
    150,012/328,045 = 328,045/x
  3. Step 3: Cross multiply
    150,012x = 328,045 × 328,045
  4. Step 4: Simplify right side
    150,012x = 107,613,522,025
  5. Step 5: Solve for x
    x = 107,613,522,025/150,012
  6. Step 6: Final answer
    x = 717,366.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.