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Finding the Third Proportional to 221,244 and 343,152

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Solution

The third proportional to 221,244 and 343,152 is: 532,232.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,244 : 343,152 = 343,152 : x
  2. Step 2: Convert to fraction form
    221,244/343,152 = 343,152/x
  3. Step 3: Cross multiply
    221,244x = 343,152 × 343,152
  4. Step 4: Simplify right side
    221,244x = 117,753,295,104
  5. Step 5: Solve for x
    x = 117,753,295,104/221,244
  6. Step 6: Final answer
    x = 532,232.72

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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.