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Finding the Third Proportional to 180,471.50 and 252,325.50

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Solution

The third proportional to 180,471.50 and 252,325.50 is: 352,787.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,471.50 : 252,325.50 = 252,325.50 : x
  2. Step 2: Convert to fraction form
    180,471.50/252,325.50 = 252,325.50/x
  3. Step 3: Cross multiply
    180,471.50x = 252,325.50 × 252,325.50
  4. Step 4: Simplify right side
    180,471.50x = 63,668,157,950.25
  5. Step 5: Solve for x
    x = 63,668,157,950.25/180,471.50
  6. Step 6: Final answer
    x = 352,787.88

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.