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Finding the Third Proportional to 164,217 and 353,756

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Solution

The third proportional to 164,217 and 353,756 is: 762,060.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,217 : 353,756 = 353,756 : x
  2. Step 2: Convert to fraction form
    164,217/353,756 = 353,756/x
  3. Step 3: Cross multiply
    164,217x = 353,756 × 353,756
  4. Step 4: Simplify right side
    164,217x = 125,143,307,536
  5. Step 5: Solve for x
    x = 125,143,307,536/164,217
  6. Step 6: Final answer
    x = 762,060.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.