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Finding the Third Proportional to 201,642.75 and 274,016.25

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Solution

The third proportional to 201,642.75 and 274,016.25 is: 372,366.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,642.75 : 274,016.25 = 274,016.25 : x
  2. Step 2: Convert to fraction form
    201,642.75/274,016.25 = 274,016.25/x
  3. Step 3: Cross multiply
    201,642.75x = 274,016.25 × 274,016.25
  4. Step 4: Simplify right side
    201,642.75x = 75,084,905,264.06
  5. Step 5: Solve for x
    x = 75,084,905,264.06/201,642.75
  6. Step 6: Final answer
    x = 372,366.01

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.