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Finding the Third Proportional to 69,884 and 155,248

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Solution

The third proportional to 69,884 and 155,248 is: 344,884.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,884 : 155,248 = 155,248 : x
  2. Step 2: Convert to fraction form
    69,884/155,248 = 155,248/x
  3. Step 3: Cross multiply
    69,884x = 155,248 × 155,248
  4. Step 4: Simplify right side
    69,884x = 24,101,941,504
  5. Step 5: Solve for x
    x = 24,101,941,504/69,884
  6. Step 6: Final answer
    x = 344,884.97

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.