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Finding the Third Proportional to 173,170.13 and 276,634.13

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Solution

The third proportional to 173,170.13 and 276,634.13 is: 441,914.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,170.13 : 276,634.13 = 276,634.13 : x
  2. Step 2: Convert to fraction form
    173,170.13/276,634.13 = 276,634.13/x
  3. Step 3: Cross multiply
    173,170.13x = 276,634.13 × 276,634.13
  4. Step 4: Simplify right side
    173,170.13x = 76,526,439,114.52
  5. Step 5: Solve for x
    x = 76,526,439,114.52/173,170.13
  6. Step 6: Final answer
    x = 441,914.79

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.