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Finding the Third Proportional to 187,225.75 and 410,087.75

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Solution

The third proportional to 187,225.75 and 410,087.75 is: 898,230.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,225.75 : 410,087.75 = 410,087.75 : x
  2. Step 2: Convert to fraction form
    187,225.75/410,087.75 = 410,087.75/x
  3. Step 3: Cross multiply
    187,225.75x = 410,087.75 × 410,087.75
  4. Step 4: Simplify right side
    187,225.75x = 168,171,962,700.06
  5. Step 5: Solve for x
    x = 168,171,962,700.06/187,225.75
  6. Step 6: Final answer
    x = 898,230.95

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Why These Related Problems?

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