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Finding the Third Proportional to 183,746 and 275,616

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Solution

The third proportional to 183,746 and 275,616 is: 413,419.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,746 : 275,616 = 275,616 : x
  2. Step 2: Convert to fraction form
    183,746/275,616 = 275,616/x
  3. Step 3: Cross multiply
    183,746x = 275,616 × 275,616
  4. Step 4: Simplify right side
    183,746x = 75,964,179,456
  5. Step 5: Solve for x
    x = 75,964,179,456/183,746
  6. Step 6: Final answer
    x = 413,419.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.