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Finding the Third Proportional to 80,248 and 173,888

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Solution

The third proportional to 80,248 and 173,888 is: 376,794.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,248 : 173,888 = 173,888 : x
  2. Step 2: Convert to fraction form
    80,248/173,888 = 173,888/x
  3. Step 3: Cross multiply
    80,248x = 173,888 × 173,888
  4. Step 4: Simplify right side
    80,248x = 30,237,036,544
  5. Step 5: Solve for x
    x = 30,237,036,544/80,248
  6. Step 6: Final answer
    x = 376,794.89

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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.