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Finding the Third Proportional to 169,992.50 and 230,026

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Solution

The third proportional to 169,992.50 and 230,026 is: 311,260.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,992.50 : 230,026 = 230,026 : x
  2. Step 2: Convert to fraction form
    169,992.50/230,026 = 230,026/x
  3. Step 3: Cross multiply
    169,992.50x = 230,026 × 230,026
  4. Step 4: Simplify right side
    169,992.50x = 52,911,960,676
  5. Step 5: Solve for x
    x = 52,911,960,676/169,992.50
  6. Step 6: Final answer
    x = 311,260.56

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.