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Finding the Third Proportional to 69,217 and 151,538

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Solution

The third proportional to 69,217 and 151,538 is: 331,764.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,217 : 151,538 = 151,538 : x
  2. Step 2: Convert to fraction form
    69,217/151,538 = 151,538/x
  3. Step 3: Cross multiply
    69,217x = 151,538 × 151,538
  4. Step 4: Simplify right side
    69,217x = 22,963,765,444
  5. Step 5: Solve for x
    x = 22,963,765,444/69,217
  6. Step 6: Final answer
    x = 331,764.82

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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.