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Finding the Third Proportional to 69,403.50 and 150,471

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Solution

The third proportional to 69,403.50 and 150,471 is: 326,230.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,403.50 : 150,471 = 150,471 : x
  2. Step 2: Convert to fraction form
    69,403.50/150,471 = 150,471/x
  3. Step 3: Cross multiply
    69,403.50x = 150,471 × 150,471
  4. Step 4: Simplify right side
    69,403.50x = 22,641,521,841
  5. Step 5: Solve for x
    x = 22,641,521,841/69,403.50
  6. Step 6: Final answer
    x = 326,230.26

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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.