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Finding the Third Proportional to 180,517.50 and 391,653

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Solution

The third proportional to 180,517.50 and 391,653 is: 849,735.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,517.50 : 391,653 = 391,653 : x
  2. Step 2: Convert to fraction form
    180,517.50/391,653 = 391,653/x
  3. Step 3: Cross multiply
    180,517.50x = 391,653 × 391,653
  4. Step 4: Simplify right side
    180,517.50x = 153,392,072,409
  5. Step 5: Solve for x
    x = 153,392,072,409/180,517.50
  6. Step 6: Final answer
    x = 849,735.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.