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Finding the Third Proportional to 129,471 and 276,933

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Solution

The third proportional to 129,471 and 276,933 is: 592,347.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,471 : 276,933 = 276,933 : x
  2. Step 2: Convert to fraction form
    129,471/276,933 = 276,933/x
  3. Step 3: Cross multiply
    129,471x = 276,933 × 276,933
  4. Step 4: Simplify right side
    129,471x = 76,691,886,489
  5. Step 5: Solve for x
    x = 76,691,886,489/129,471
  6. Step 6: Final answer
    x = 592,347.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.