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Finding the Third Proportional to 129,459.94 and 276,910.31

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Solution

The third proportional to 129,459.94 and 276,910.31 is: 592,301.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,459.94 : 276,910.31 = 276,910.31 : x
  2. Step 2: Convert to fraction form
    129,459.94/276,910.31 = 276,910.31/x
  3. Step 3: Cross multiply
    129,459.94x = 276,910.31 × 276,910.31
  4. Step 4: Simplify right side
    129,459.94x = 76,679,321,168.85
  5. Step 5: Solve for x
    x = 76,679,321,168.85/129,459.94
  6. Step 6: Final answer
    x = 592,301.55

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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.