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Finding the Third Proportional to 202,716 and 317,996

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Solution

The third proportional to 202,716 and 317,996 is: 498,833.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,716 : 317,996 = 317,996 : x
  2. Step 2: Convert to fraction form
    202,716/317,996 = 317,996/x
  3. Step 3: Cross multiply
    202,716x = 317,996 × 317,996
  4. Step 4: Simplify right side
    202,716x = 101,121,456,016
  5. Step 5: Solve for x
    x = 101,121,456,016/202,716
  6. Step 6: Final answer
    x = 498,833.13

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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.