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Finding the Third Proportional to 216,080 and 327,101

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Solution

The third proportional to 216,080 and 327,101 is: 495,164.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,080 : 327,101 = 327,101 : x
  2. Step 2: Convert to fraction form
    216,080/327,101 = 327,101/x
  3. Step 3: Cross multiply
    216,080x = 327,101 × 327,101
  4. Step 4: Simplify right side
    216,080x = 106,995,064,201
  5. Step 5: Solve for x
    x = 106,995,064,201/216,080
  6. Step 6: Final answer
    x = 495,164.13

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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.