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Finding the Third Proportional to 148,167 and 349,616

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Solution

The third proportional to 148,167 and 349,616 is: 824,956.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,167 : 349,616 = 349,616 : x
  2. Step 2: Convert to fraction form
    148,167/349,616 = 349,616/x
  3. Step 3: Cross multiply
    148,167x = 349,616 × 349,616
  4. Step 4: Simplify right side
    148,167x = 122,231,347,456
  5. Step 5: Solve for x
    x = 122,231,347,456/148,167
  6. Step 6: Final answer
    x = 824,956.62

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.