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Finding the Third Proportional to 221,692 and 343,974

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Solution

The third proportional to 221,692 and 343,974 is: 533,704.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,692 : 343,974 = 343,974 : x
  2. Step 2: Convert to fraction form
    221,692/343,974 = 343,974/x
  3. Step 3: Cross multiply
    221,692x = 343,974 × 343,974
  4. Step 4: Simplify right side
    221,692x = 118,318,112,676
  5. Step 5: Solve for x
    x = 118,318,112,676/221,692
  6. Step 6: Final answer
    x = 533,704.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.