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Finding the Third Proportional to 166,446 and 243,440

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Solution

The third proportional to 166,446 and 243,440 is: 356,049.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,446 : 243,440 = 243,440 : x
  2. Step 2: Convert to fraction form
    166,446/243,440 = 243,440/x
  3. Step 3: Cross multiply
    166,446x = 243,440 × 243,440
  4. Step 4: Simplify right side
    166,446x = 59,263,033,600
  5. Step 5: Solve for x
    x = 59,263,033,600/166,446
  6. Step 6: Final answer
    x = 356,049.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.