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Finding the Third Proportional to 204,526 and 313,957

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Solution

The third proportional to 204,526 and 313,957 is: 481,938.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,526 : 313,957 = 313,957 : x
  2. Step 2: Convert to fraction form
    204,526/313,957 = 313,957/x
  3. Step 3: Cross multiply
    204,526x = 313,957 × 313,957
  4. Step 4: Simplify right side
    204,526x = 98,568,997,849
  5. Step 5: Solve for x
    x = 98,568,997,849/204,526
  6. Step 6: Final answer
    x = 481,938.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.