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Finding the Third Proportional to 199,611 and 286,930.13

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Solution

The third proportional to 199,611 and 286,930.13 is: 412,446.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,611 : 286,930.13 = 286,930.13 : x
  2. Step 2: Convert to fraction form
    199,611/286,930.13 = 286,930.13/x
  3. Step 3: Cross multiply
    199,611x = 286,930.13 × 286,930.13
  4. Step 4: Simplify right side
    199,611x = 82,328,896,632.52
  5. Step 5: Solve for x
    x = 82,328,896,632.52/199,611
  6. Step 6: Final answer
    x = 412,446.69

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.