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Finding the Third Proportional to 221,664 and 334,824

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Solution

The third proportional to 221,664 and 334,824 is: 505,752.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,664 : 334,824 = 334,824 : x
  2. Step 2: Convert to fraction form
    221,664/334,824 = 334,824/x
  3. Step 3: Cross multiply
    221,664x = 334,824 × 334,824
  4. Step 4: Simplify right side
    221,664x = 112,107,110,976
  5. Step 5: Solve for x
    x = 112,107,110,976/221,664
  6. Step 6: Final answer
    x = 505,752.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.