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Finding the Third Proportional to 216,160 and 327,216

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Solution

The third proportional to 216,160 and 327,216 is: 495,328.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,160 : 327,216 = 327,216 : x
  2. Step 2: Convert to fraction form
    216,160/327,216 = 327,216/x
  3. Step 3: Cross multiply
    216,160x = 327,216 × 327,216
  4. Step 4: Simplify right side
    216,160x = 107,070,310,656
  5. Step 5: Solve for x
    x = 107,070,310,656/216,160
  6. Step 6: Final answer
    x = 495,328.97

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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.