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Finding the Third Proportional to 164,260 and 215,690

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Solution

The third proportional to 164,260 and 215,690 is: 283,222.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,260 : 215,690 = 215,690 : x
  2. Step 2: Convert to fraction form
    164,260/215,690 = 215,690/x
  3. Step 3: Cross multiply
    164,260x = 215,690 × 215,690
  4. Step 4: Simplify right side
    164,260x = 46,522,176,100
  5. Step 5: Solve for x
    x = 46,522,176,100/164,260
  6. Step 6: Final answer
    x = 283,222.79

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.