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Finding the Third Proportional to 191,284.03 and 281,092.78

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Solution

The third proportional to 191,284.03 and 281,092.78 is: 413,067.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,284.03 : 281,092.78 = 281,092.78 : x
  2. Step 2: Convert to fraction form
    191,284.03/281,092.78 = 281,092.78/x
  3. Step 3: Cross multiply
    191,284.03x = 281,092.78 × 281,092.78
  4. Step 4: Simplify right side
    191,284.03x = 79,013,151,670.86
  5. Step 5: Solve for x
    x = 79,013,151,670.86/191,284.03
  6. Step 6: Final answer
    x = 413,067.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.