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Finding the Third Proportional to 164,540 and 349,841

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Solution

The third proportional to 164,540 and 349,841 is: 743,823.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,540 : 349,841 = 349,841 : x
  2. Step 2: Convert to fraction form
    164,540/349,841 = 349,841/x
  3. Step 3: Cross multiply
    164,540x = 349,841 × 349,841
  4. Step 4: Simplify right side
    164,540x = 122,388,725,281
  5. Step 5: Solve for x
    x = 122,388,725,281/164,540
  6. Step 6: Final answer
    x = 743,823.54

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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.