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Finding the Third Proportional to 157,669 and 244,794

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Solution

The third proportional to 157,669 and 244,794 is: 380,062.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,669 : 244,794 = 244,794 : x
  2. Step 2: Convert to fraction form
    157,669/244,794 = 244,794/x
  3. Step 3: Cross multiply
    157,669x = 244,794 × 244,794
  4. Step 4: Simplify right side
    157,669x = 59,924,102,436
  5. Step 5: Solve for x
    x = 59,924,102,436/157,669
  6. Step 6: Final answer
    x = 380,062.68

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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.