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Finding the Third Proportional to 131,950 and 276,862

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Solution

The third proportional to 131,950 and 276,862 is: 580,921.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,950 : 276,862 = 276,862 : x
  2. Step 2: Convert to fraction form
    131,950/276,862 = 276,862/x
  3. Step 3: Cross multiply
    131,950x = 276,862 × 276,862
  4. Step 4: Simplify right side
    131,950x = 76,652,567,044
  5. Step 5: Solve for x
    x = 76,652,567,044/131,950
  6. Step 6: Final answer
    x = 580,921.31

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.