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Finding the Third Proportional to 221,947 and 347,796

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Solution

The third proportional to 221,947 and 347,796 is: 545,004.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,947 : 347,796 = 347,796 : x
  2. Step 2: Convert to fraction form
    221,947/347,796 = 347,796/x
  3. Step 3: Cross multiply
    221,947x = 347,796 × 347,796
  4. Step 4: Simplify right side
    221,947x = 120,962,057,616
  5. Step 5: Solve for x
    x = 120,962,057,616/221,947
  6. Step 6: Final answer
    x = 545,004.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.