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Finding the Third Proportional to 202,208 and 317,176

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Solution

The third proportional to 202,208 and 317,176 is: 497,510.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,208 : 317,176 = 317,176 : x
  2. Step 2: Convert to fraction form
    202,208/317,176 = 317,176/x
  3. Step 3: Cross multiply
    202,208x = 317,176 × 317,176
  4. Step 4: Simplify right side
    202,208x = 100,600,614,976
  5. Step 5: Solve for x
    x = 100,600,614,976/202,208
  6. Step 6: Final answer
    x = 497,510.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.