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Finding the Third Proportional to 187,150.50 and 261,920.25

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Solution

The third proportional to 187,150.50 and 261,920.25 is: 366,561.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,150.50 : 261,920.25 = 261,920.25 : x
  2. Step 2: Convert to fraction form
    187,150.50/261,920.25 = 261,920.25/x
  3. Step 3: Cross multiply
    187,150.50x = 261,920.25 × 261,920.25
  4. Step 4: Simplify right side
    187,150.50x = 68,602,217,360.06
  5. Step 5: Solve for x
    x = 68,602,217,360.06/187,150.50
  6. Step 6: Final answer
    x = 366,561.76

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.