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Finding the Third Proportional to 165,696 and 248,544

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Solution

The third proportional to 165,696 and 248,544 is: 372,816

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,696 : 248,544 = 248,544 : x
  2. Step 2: Convert to fraction form
    165,696/248,544 = 248,544/x
  3. Step 3: Cross multiply
    165,696x = 248,544 × 248,544
  4. Step 4: Simplify right side
    165,696x = 61,774,119,936
  5. Step 5: Solve for x
    x = 61,774,119,936/165,696
  6. Step 6: Final answer
    x = 372,816

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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.