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Finding the Third Proportional to 163,771 and 248,612

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Solution

The third proportional to 163,771 and 248,612 is: 377,404.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,771 : 248,612 = 248,612 : x
  2. Step 2: Convert to fraction form
    163,771/248,612 = 248,612/x
  3. Step 3: Cross multiply
    163,771x = 248,612 × 248,612
  4. Step 4: Simplify right side
    163,771x = 61,807,926,544
  5. Step 5: Solve for x
    x = 61,807,926,544/163,771
  6. Step 6: Final answer
    x = 377,404.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.