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Finding the Third Proportional to 201,827.67 and 274,219.17

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Solution

The third proportional to 201,827.67 and 274,219.17 is: 372,576.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,827.67 : 274,219.17 = 274,219.17 : x
  2. Step 2: Convert to fraction form
    201,827.67/274,219.17 = 274,219.17/x
  3. Step 3: Cross multiply
    201,827.67x = 274,219.17 × 274,219.17
  4. Step 4: Simplify right side
    201,827.67x = 75,196,154,223.81
  5. Step 5: Solve for x
    x = 75,196,154,223.81/201,827.67
  6. Step 6: Final answer
    x = 372,576.04

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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.