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Finding the Third Proportional to 163,876 and 346,952

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Solution

The third proportional to 163,876 and 346,952 is: 734,553.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,876 : 346,952 = 346,952 : x
  2. Step 2: Convert to fraction form
    163,876/346,952 = 346,952/x
  3. Step 3: Cross multiply
    163,876x = 346,952 × 346,952
  4. Step 4: Simplify right side
    163,876x = 120,375,690,304
  5. Step 5: Solve for x
    x = 120,375,690,304/163,876
  6. Step 6: Final answer
    x = 734,553.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.