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Finding the Third Proportional to 159,842 and 248,349

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Solution

The third proportional to 159,842 and 248,349 is: 385,863.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,842 : 248,349 = 248,349 : x
  2. Step 2: Convert to fraction form
    159,842/248,349 = 248,349/x
  3. Step 3: Cross multiply
    159,842x = 248,349 × 248,349
  4. Step 4: Simplify right side
    159,842x = 61,677,225,801
  5. Step 5: Solve for x
    x = 61,677,225,801/159,842
  6. Step 6: Final answer
    x = 385,863.70

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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.