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Finding the Third Proportional to 216,056 and 327,069

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Solution

The third proportional to 216,056 and 327,069 is: 495,122.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,056 : 327,069 = 327,069 : x
  2. Step 2: Convert to fraction form
    216,056/327,069 = 327,069/x
  3. Step 3: Cross multiply
    216,056x = 327,069 × 327,069
  4. Step 4: Simplify right side
    216,056x = 106,974,130,761
  5. Step 5: Solve for x
    x = 106,974,130,761/216,056
  6. Step 6: Final answer
    x = 495,122.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.