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Finding the Third Proportional to 201,722 and 274,095

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Solution

The third proportional to 201,722 and 274,095 is: 372,433.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,722 : 274,095 = 274,095 : x
  2. Step 2: Convert to fraction form
    201,722/274,095 = 274,095/x
  3. Step 3: Cross multiply
    201,722x = 274,095 × 274,095
  4. Step 4: Simplify right side
    201,722x = 75,128,069,025
  5. Step 5: Solve for x
    x = 75,128,069,025/201,722
  6. Step 6: Final answer
    x = 372,433.69

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