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Finding the Third Proportional to 181,789.50 and 389,499

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Solution

The third proportional to 181,789.50 and 389,499 is: 834,533.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,789.50 : 389,499 = 389,499 : x
  2. Step 2: Convert to fraction form
    181,789.50/389,499 = 389,499/x
  3. Step 3: Cross multiply
    181,789.50x = 389,499 × 389,499
  4. Step 4: Simplify right side
    181,789.50x = 151,709,471,001
  5. Step 5: Solve for x
    x = 151,709,471,001/181,789.50
  6. Step 6: Final answer
    x = 834,533.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.