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Finding the Third Proportional to 208,702 and 317,043

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Solution

The third proportional to 208,702 and 317,043 is: 481,625.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,702 : 317,043 = 317,043 : x
  2. Step 2: Convert to fraction form
    208,702/317,043 = 317,043/x
  3. Step 3: Cross multiply
    208,702x = 317,043 × 317,043
  4. Step 4: Simplify right side
    208,702x = 100,516,263,849
  5. Step 5: Solve for x
    x = 100,516,263,849/208,702
  6. Step 6: Final answer
    x = 481,625.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.