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Finding the Third Proportional to 202,884 and 296,814

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Solution

The third proportional to 202,884 and 296,814 is: 434,231.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,884 : 296,814 = 296,814 : x
  2. Step 2: Convert to fraction form
    202,884/296,814 = 296,814/x
  3. Step 3: Cross multiply
    202,884x = 296,814 × 296,814
  4. Step 4: Simplify right side
    202,884x = 88,098,550,596
  5. Step 5: Solve for x
    x = 88,098,550,596/202,884
  6. Step 6: Final answer
    x = 434,231.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.