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Finding the Third Proportional to 161,952.75 and 252,049.50

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Solution

The third proportional to 161,952.75 and 252,049.50 is: 392,268.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,952.75 : 252,049.50 = 252,049.50 : x
  2. Step 2: Convert to fraction form
    161,952.75/252,049.50 = 252,049.50/x
  3. Step 3: Cross multiply
    161,952.75x = 252,049.50 × 252,049.50
  4. Step 4: Simplify right side
    161,952.75x = 63,528,950,450.25
  5. Step 5: Solve for x
    x = 63,528,950,450.25/161,952.75
  6. Step 6: Final answer
    x = 392,268.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.