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Finding the Third Proportional to 162,783 and 241,812

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Solution

The third proportional to 162,783 and 241,812 is: 359,208.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,783 : 241,812 = 241,812 : x
  2. Step 2: Convert to fraction form
    162,783/241,812 = 241,812/x
  3. Step 3: Cross multiply
    162,783x = 241,812 × 241,812
  4. Step 4: Simplify right side
    162,783x = 58,473,043,344
  5. Step 5: Solve for x
    x = 58,473,043,344/162,783
  6. Step 6: Final answer
    x = 359,208.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.