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Finding the Third Proportional to 189,305.50 and 404,876

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Solution

The third proportional to 189,305.50 and 404,876 is: 865,926.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,305.50 : 404,876 = 404,876 : x
  2. Step 2: Convert to fraction form
    189,305.50/404,876 = 404,876/x
  3. Step 3: Cross multiply
    189,305.50x = 404,876 × 404,876
  4. Step 4: Simplify right side
    189,305.50x = 163,924,575,376
  5. Step 5: Solve for x
    x = 163,924,575,376/189,305.50
  6. Step 6: Final answer
    x = 865,926.11

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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.