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Finding the Third Proportional to 202,205 and 317,172

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Solution

The third proportional to 202,205 and 317,172 is: 497,505.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,205 : 317,172 = 317,172 : x
  2. Step 2: Convert to fraction form
    202,205/317,172 = 317,172/x
  3. Step 3: Cross multiply
    202,205x = 317,172 × 317,172
  4. Step 4: Simplify right side
    202,205x = 100,598,077,584
  5. Step 5: Solve for x
    x = 100,598,077,584/202,205
  6. Step 6: Final answer
    x = 497,505.39

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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.