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Finding the Third Proportional to 201,963.38 and 313,610.06

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Solution

The third proportional to 201,963.38 and 313,610.06 is: 486,975.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,963.38 : 313,610.06 = 313,610.06 : x
  2. Step 2: Convert to fraction form
    201,963.38/313,610.06 = 313,610.06/x
  3. Step 3: Cross multiply
    201,963.38x = 313,610.06 × 313,610.06
  4. Step 4: Simplify right side
    201,963.38x = 98,351,271,301.25
  5. Step 5: Solve for x
    x = 98,351,271,301.25/201,963.38
  6. Step 6: Final answer
    x = 486,975.78

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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.