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Finding the Third Proportional to 200.13 and 426.06

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Solution

The third proportional to 200.13 and 426.06 is: 907.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.13 : 426.06 = 426.06 : x
  2. Step 2: Convert to fraction form
    200.13/426.06 = 426.06/x
  3. Step 3: Cross multiply
    200.13x = 426.06 × 426.06
  4. Step 4: Simplify right side
    200.13x = 181,529.25
  5. Step 5: Solve for x
    x = 181,529.25/200.13
  6. Step 6: Final answer
    x = 907.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.