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Finding the Third Proportional to 221,508 and 334,566

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Solution

The third proportional to 221,508 and 334,566 is: 505,328.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,508 : 334,566 = 334,566 : x
  2. Step 2: Convert to fraction form
    221,508/334,566 = 334,566/x
  3. Step 3: Cross multiply
    221,508x = 334,566 × 334,566
  4. Step 4: Simplify right side
    221,508x = 111,934,408,356
  5. Step 5: Solve for x
    x = 111,934,408,356/221,508
  6. Step 6: Final answer
    x = 505,328.96

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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.