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Finding the Third Proportional to 69,418 and 150,488

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Solution

The third proportional to 69,418 and 150,488 is: 326,235.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,418 : 150,488 = 150,488 : x
  2. Step 2: Convert to fraction form
    69,418/150,488 = 150,488/x
  3. Step 3: Cross multiply
    69,418x = 150,488 × 150,488
  4. Step 4: Simplify right side
    69,418x = 22,646,638,144
  5. Step 5: Solve for x
    x = 22,646,638,144/69,418
  6. Step 6: Final answer
    x = 326,235.82

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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.