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Finding the Third Proportional to 201,983 and 313,640

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Solution

The third proportional to 201,983 and 313,640 is: 487,021.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,983 : 313,640 = 313,640 : x
  2. Step 2: Convert to fraction form
    201,983/313,640 = 313,640/x
  3. Step 3: Cross multiply
    201,983x = 313,640 × 313,640
  4. Step 4: Simplify right side
    201,983x = 98,370,049,600
  5. Step 5: Solve for x
    x = 98,370,049,600/201,983
  6. Step 6: Final answer
    x = 487,021.43

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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.