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Finding the Third Proportional to 129,768 and 278,933

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Solution

The third proportional to 129,768 and 278,933 is: 599,559.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,768 : 278,933 = 278,933 : x
  2. Step 2: Convert to fraction form
    129,768/278,933 = 278,933/x
  3. Step 3: Cross multiply
    129,768x = 278,933 × 278,933
  4. Step 4: Simplify right side
    129,768x = 77,803,618,489
  5. Step 5: Solve for x
    x = 77,803,618,489/129,768
  6. Step 6: Final answer
    x = 599,559.36

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.