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Finding the Third Proportional to 180,955.50 and 397,602

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Solution

The third proportional to 180,955.50 and 397,602 is: 873,625.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,955.50 : 397,602 = 397,602 : x
  2. Step 2: Convert to fraction form
    180,955.50/397,602 = 397,602/x
  3. Step 3: Cross multiply
    180,955.50x = 397,602 × 397,602
  4. Step 4: Simplify right side
    180,955.50x = 158,087,350,404
  5. Step 5: Solve for x
    x = 158,087,350,404/180,955.50
  6. Step 6: Final answer
    x = 873,625.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.