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Finding the Third Proportional to 164,212 and 353,747

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Solution

The third proportional to 164,212 and 353,747 is: 762,045.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,212 : 353,747 = 353,747 : x
  2. Step 2: Convert to fraction form
    164,212/353,747 = 353,747/x
  3. Step 3: Cross multiply
    164,212x = 353,747 × 353,747
  4. Step 4: Simplify right side
    164,212x = 125,136,940,009
  5. Step 5: Solve for x
    x = 125,136,940,009/164,212
  6. Step 6: Final answer
    x = 762,045.04

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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.