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Finding the Third Proportional to 187,061.91 and 290,243.25

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Solution

The third proportional to 187,061.91 and 290,243.25 is: 450,338.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,061.91 : 290,243.25 = 290,243.25 : x
  2. Step 2: Convert to fraction form
    187,061.91/290,243.25 = 290,243.25/x
  3. Step 3: Cross multiply
    187,061.91x = 290,243.25 × 290,243.25
  4. Step 4: Simplify right side
    187,061.91x = 84,241,144,170.56
  5. Step 5: Solve for x
    x = 84,241,144,170.56/187,061.91
  6. Step 6: Final answer
    x = 450,338.32

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.