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Finding the Third Proportional to 201,966 and 312,713

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Solution

The third proportional to 201,966 and 312,713 is: 484,187.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,966 : 312,713 = 312,713 : x
  2. Step 2: Convert to fraction form
    201,966/312,713 = 312,713/x
  3. Step 3: Cross multiply
    201,966x = 312,713 × 312,713
  4. Step 4: Simplify right side
    201,966x = 97,789,420,369
  5. Step 5: Solve for x
    x = 97,789,420,369/201,966
  6. Step 6: Final answer
    x = 484,187.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.