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Finding the Third Proportional to 164,540 and 349,840

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Solution

The third proportional to 164,540 and 349,840 is: 743,819.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,540 : 349,840 = 349,840 : x
  2. Step 2: Convert to fraction form
    164,540/349,840 = 349,840/x
  3. Step 3: Cross multiply
    164,540x = 349,840 × 349,840
  4. Step 4: Simplify right side
    164,540x = 122,388,025,600
  5. Step 5: Solve for x
    x = 122,388,025,600/164,540
  6. Step 6: Final answer
    x = 743,819.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.