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Finding the Third Proportional to 187,087.75 and 410,391.75

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Solution

The third proportional to 187,087.75 and 410,391.75 is: 900,226.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,087.75 : 410,391.75 = 410,391.75 : x
  2. Step 2: Convert to fraction form
    187,087.75/410,391.75 = 410,391.75/x
  3. Step 3: Cross multiply
    187,087.75x = 410,391.75 × 410,391.75
  4. Step 4: Simplify right side
    187,087.75x = 168,421,388,468.06
  5. Step 5: Solve for x
    x = 168,421,388,468.06/187,087.75
  6. Step 6: Final answer
    x = 900,226.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.