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Finding the Third Proportional to 201,881 and 293,425

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Solution

The third proportional to 201,881 and 293,425 is: 426,480.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,881 : 293,425 = 293,425 : x
  2. Step 2: Convert to fraction form
    201,881/293,425 = 293,425/x
  3. Step 3: Cross multiply
    201,881x = 293,425 × 293,425
  4. Step 4: Simplify right side
    201,881x = 86,098,230,625
  5. Step 5: Solve for x
    x = 86,098,230,625/201,881
  6. Step 6: Final answer
    x = 426,480.11

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.