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Finding the Third Proportional to 69,252 and 150,816

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Solution

The third proportional to 69,252 and 150,816 is: 328,444.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,252 : 150,816 = 150,816 : x
  2. Step 2: Convert to fraction form
    69,252/150,816 = 150,816/x
  3. Step 3: Cross multiply
    69,252x = 150,816 × 150,816
  4. Step 4: Simplify right side
    69,252x = 22,745,465,856
  5. Step 5: Solve for x
    x = 22,745,465,856/69,252
  6. Step 6: Final answer
    x = 328,444.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.