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Finding the Third Proportional to 216,288 and 336,069

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Solution

The third proportional to 216,288 and 336,069 is: 522,185.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,288 : 336,069 = 336,069 : x
  2. Step 2: Convert to fraction form
    216,288/336,069 = 336,069/x
  3. Step 3: Cross multiply
    216,288x = 336,069 × 336,069
  4. Step 4: Simplify right side
    216,288x = 112,942,372,761
  5. Step 5: Solve for x
    x = 112,942,372,761/216,288
  6. Step 6: Final answer
    x = 522,185.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.