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Finding the Third Proportional to 164,583 and 220,218

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Solution

The third proportional to 164,583 and 220,218 is: 294,659.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,583 : 220,218 = 220,218 : x
  2. Step 2: Convert to fraction form
    164,583/220,218 = 220,218/x
  3. Step 3: Cross multiply
    164,583x = 220,218 × 220,218
  4. Step 4: Simplify right side
    164,583x = 48,495,967,524
  5. Step 5: Solve for x
    x = 48,495,967,524/164,583
  6. Step 6: Final answer
    x = 294,659.64

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.