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Finding the Third Proportional to 202,876 and 315,389

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Solution

The third proportional to 202,876 and 315,389 is: 490,300.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,876 : 315,389 = 315,389 : x
  2. Step 2: Convert to fraction form
    202,876/315,389 = 315,389/x
  3. Step 3: Cross multiply
    202,876x = 315,389 × 315,389
  4. Step 4: Simplify right side
    202,876x = 99,470,221,321
  5. Step 5: Solve for x
    x = 99,470,221,321/202,876
  6. Step 6: Final answer
    x = 490,300.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.