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Finding the Third Proportional to 189,856.50 and 404,253

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Solution

The third proportional to 189,856.50 and 404,253 is: 860,757.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,856.50 : 404,253 = 404,253 : x
  2. Step 2: Convert to fraction form
    189,856.50/404,253 = 404,253/x
  3. Step 3: Cross multiply
    189,856.50x = 404,253 × 404,253
  4. Step 4: Simplify right side
    189,856.50x = 163,420,488,009
  5. Step 5: Solve for x
    x = 163,420,488,009/189,856.50
  6. Step 6: Final answer
    x = 860,757.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.