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Finding the Third Proportional to 164,630 and 246,243

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Solution

The third proportional to 164,630 and 246,243 is: 368,314.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,630 : 246,243 = 246,243 : x
  2. Step 2: Convert to fraction form
    164,630/246,243 = 246,243/x
  3. Step 3: Cross multiply
    164,630x = 246,243 × 246,243
  4. Step 4: Simplify right side
    164,630x = 60,635,615,049
  5. Step 5: Solve for x
    x = 60,635,615,049/164,630
  6. Step 6: Final answer
    x = 368,314.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.