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Finding the Third Proportional to 162,236 and 346,890

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Solution

The third proportional to 162,236 and 346,890 is: 741,713.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,236 : 346,890 = 346,890 : x
  2. Step 2: Convert to fraction form
    162,236/346,890 = 346,890/x
  3. Step 3: Cross multiply
    162,236x = 346,890 × 346,890
  4. Step 4: Simplify right side
    162,236x = 120,332,672,100
  5. Step 5: Solve for x
    x = 120,332,672,100/162,236
  6. Step 6: Final answer
    x = 741,713.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.