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Finding the Third Proportional to 202,203 and 317,170

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Solution

The third proportional to 202,203 and 317,170 is: 497,504.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,203 : 317,170 = 317,170 : x
  2. Step 2: Convert to fraction form
    202,203/317,170 = 317,170/x
  3. Step 3: Cross multiply
    202,203x = 317,170 × 317,170
  4. Step 4: Simplify right side
    202,203x = 100,596,808,900
  5. Step 5: Solve for x
    x = 100,596,808,900/202,203
  6. Step 6: Final answer
    x = 497,504.04

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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.