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Finding the Third Proportional to 205,147.69 and 426,603.38

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Solution

The third proportional to 205,147.69 and 426,603.38 is: 887,119.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,147.69 : 426,603.38 = 426,603.38 : x
  2. Step 2: Convert to fraction form
    205,147.69/426,603.38 = 426,603.38/x
  3. Step 3: Cross multiply
    205,147.69x = 426,603.38 × 426,603.38
  4. Step 4: Simplify right side
    205,147.69x = 181,990,439,561.39
  5. Step 5: Solve for x
    x = 181,990,439,561.39/205,147.69
  6. Step 6: Final answer
    x = 887,119.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.