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Finding the Third Proportional to 204,107 and 321,814

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Solution

The third proportional to 204,107 and 321,814 is: 507,401.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,107 : 321,814 = 321,814 : x
  2. Step 2: Convert to fraction form
    204,107/321,814 = 321,814/x
  3. Step 3: Cross multiply
    204,107x = 321,814 × 321,814
  4. Step 4: Simplify right side
    204,107x = 103,564,250,596
  5. Step 5: Solve for x
    x = 103,564,250,596/204,107
  6. Step 6: Final answer
    x = 507,401.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.