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Finding the Third Proportional to 199,484.44 and 305,191.13

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Solution

The third proportional to 199,484.44 and 305,191.13 is: 466,911.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,484.44 : 305,191.13 = 305,191.13 : x
  2. Step 2: Convert to fraction form
    199,484.44/305,191.13 = 305,191.13/x
  3. Step 3: Cross multiply
    199,484.44x = 305,191.13 × 305,191.13
  4. Step 4: Simplify right side
    199,484.44x = 93,141,622,778.77
  5. Step 5: Solve for x
    x = 93,141,622,778.77/199,484.44
  6. Step 6: Final answer
    x = 466,911.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.