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Finding the Third Proportional to 150,433.88 and 326,801.25

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Solution

The third proportional to 150,433.88 and 326,801.25 is: 709,940.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,433.88 : 326,801.25 = 326,801.25 : x
  2. Step 2: Convert to fraction form
    150,433.88/326,801.25 = 326,801.25/x
  3. Step 3: Cross multiply
    150,433.88x = 326,801.25 × 326,801.25
  4. Step 4: Simplify right side
    150,433.88x = 106,799,057,001.56
  5. Step 5: Solve for x
    x = 106,799,057,001.56/150,433.88
  6. Step 6: Final answer
    x = 709,940.21

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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.