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Finding the Third Proportional to 172,995.75 and 232,773.75

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Solution

The third proportional to 172,995.75 and 232,773.75 is: 313,207.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,995.75 : 232,773.75 = 232,773.75 : x
  2. Step 2: Convert to fraction form
    172,995.75/232,773.75 = 232,773.75/x
  3. Step 3: Cross multiply
    172,995.75x = 232,773.75 × 232,773.75
  4. Step 4: Simplify right side
    172,995.75x = 54,183,618,689.06
  5. Step 5: Solve for x
    x = 54,183,618,689.06/172,995.75
  6. Step 6: Final answer
    x = 313,207.80

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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.