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Finding the Third Proportional to 161,803.50 and 241,782

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Solution

The third proportional to 161,803.50 and 241,782 is: 361,293.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,803.50 : 241,782 = 241,782 : x
  2. Step 2: Convert to fraction form
    161,803.50/241,782 = 241,782/x
  3. Step 3: Cross multiply
    161,803.50x = 241,782 × 241,782
  4. Step 4: Simplify right side
    161,803.50x = 58,458,535,524
  5. Step 5: Solve for x
    x = 58,458,535,524/161,803.50
  6. Step 6: Final answer
    x = 361,293.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.