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Finding the Third Proportional to 129,451.50 and 276,892.50

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Solution

The third proportional to 129,451.50 and 276,892.50 is: 592,263.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,451.50 : 276,892.50 = 276,892.50 : x
  2. Step 2: Convert to fraction form
    129,451.50/276,892.50 = 276,892.50/x
  3. Step 3: Cross multiply
    129,451.50x = 276,892.50 × 276,892.50
  4. Step 4: Simplify right side
    129,451.50x = 76,669,456,556.25
  5. Step 5: Solve for x
    x = 76,669,456,556.25/129,451.50
  6. Step 6: Final answer
    x = 592,263.95

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