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Finding the Third Proportional to 170,903.25 and 187,305.75

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Solution

The third proportional to 170,903.25 and 187,305.75 is: 205,282.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,903.25 : 187,305.75 = 187,305.75 : x
  2. Step 2: Convert to fraction form
    170,903.25/187,305.75 = 187,305.75/x
  3. Step 3: Cross multiply
    170,903.25x = 187,305.75 × 187,305.75
  4. Step 4: Simplify right side
    170,903.25x = 35,083,443,983.06
  5. Step 5: Solve for x
    x = 35,083,443,983.06/170,903.25
  6. Step 6: Final answer
    x = 205,282.49

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.