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Finding the Third Proportional to 159,783 and 248,436

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Solution

The third proportional to 159,783 and 248,436 is: 386,276.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,783 : 248,436 = 248,436 : x
  2. Step 2: Convert to fraction form
    159,783/248,436 = 248,436/x
  3. Step 3: Cross multiply
    159,783x = 248,436 × 248,436
  4. Step 4: Simplify right side
    159,783x = 61,720,446,096
  5. Step 5: Solve for x
    x = 61,720,446,096/159,783
  6. Step 6: Final answer
    x = 386,276.68

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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.