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Finding the Third Proportional to 200,226 and 435,081

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Solution

The third proportional to 200,226 and 435,081 is: 945,409.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,226 : 435,081 = 435,081 : x
  2. Step 2: Convert to fraction form
    200,226/435,081 = 435,081/x
  3. Step 3: Cross multiply
    200,226x = 435,081 × 435,081
  4. Step 4: Simplify right side
    200,226x = 189,295,476,561
  5. Step 5: Solve for x
    x = 189,295,476,561/200,226
  6. Step 6: Final answer
    x = 945,409.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.