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Finding the Third Proportional to 201,719 and 274,090

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Solution

The third proportional to 201,719 and 274,090 is: 372,425.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,719 : 274,090 = 274,090 : x
  2. Step 2: Convert to fraction form
    201,719/274,090 = 274,090/x
  3. Step 3: Cross multiply
    201,719x = 274,090 × 274,090
  4. Step 4: Simplify right side
    201,719x = 75,125,328,100
  5. Step 5: Solve for x
    x = 75,125,328,100/201,719
  6. Step 6: Final answer
    x = 372,425.64

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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.