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Finding the Third Proportional to 201,900 and 293,451

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Solution

The third proportional to 201,900 and 293,451 is: 426,515.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,900 : 293,451 = 293,451 : x
  2. Step 2: Convert to fraction form
    201,900/293,451 = 293,451/x
  3. Step 3: Cross multiply
    201,900x = 293,451 × 293,451
  4. Step 4: Simplify right side
    201,900x = 86,113,489,401
  5. Step 5: Solve for x
    x = 86,113,489,401/201,900
  6. Step 6: Final answer
    x = 426,515.55

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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.