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Finding the Third Proportional to 201,102.75 and 416,125.13

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Solution

The third proportional to 201,102.75 and 416,125.13 is: 861,052.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,102.75 : 416,125.13 = 416,125.13 : x
  2. Step 2: Convert to fraction form
    201,102.75/416,125.13 = 416,125.13/x
  3. Step 3: Cross multiply
    201,102.75x = 416,125.13 × 416,125.13
  4. Step 4: Simplify right side
    201,102.75x = 173,160,119,656.27
  5. Step 5: Solve for x
    x = 173,160,119,656.27/201,102.75
  6. Step 6: Final answer
    x = 861,052.97

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.