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Finding the Third Proportional to 201,205.13 and 426,399.19

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Solution

The third proportional to 201,205.13 and 426,399.19 is: 903,636.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,205.13 : 426,399.19 = 426,399.19 : x
  2. Step 2: Convert to fraction form
    201,205.13/426,399.19 = 426,399.19/x
  3. Step 3: Cross multiply
    201,205.13x = 426,399.19 × 426,399.19
  4. Step 4: Simplify right side
    201,205.13x = 181,816,267,100.66
  5. Step 5: Solve for x
    x = 181,816,267,100.66/201,205.13
  6. Step 6: Final answer
    x = 903,636.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.