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Finding the Third Proportional to 164,424 and 353,802

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Solution

The third proportional to 164,424 and 353,802 is: 761,299.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,424 : 353,802 = 353,802 : x
  2. Step 2: Convert to fraction form
    164,424/353,802 = 353,802/x
  3. Step 3: Cross multiply
    164,424x = 353,802 × 353,802
  4. Step 4: Simplify right side
    164,424x = 125,175,855,204
  5. Step 5: Solve for x
    x = 125,175,855,204/164,424
  6. Step 6: Final answer
    x = 761,299.17

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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.