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Finding the Third Proportional to 110,284 and 165,446

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Solution

The third proportional to 110,284 and 165,446 is: 248,199.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,284 : 165,446 = 165,446 : x
  2. Step 2: Convert to fraction form
    110,284/165,446 = 165,446/x
  3. Step 3: Cross multiply
    110,284x = 165,446 × 165,446
  4. Step 4: Simplify right side
    110,284x = 27,372,378,916
  5. Step 5: Solve for x
    x = 27,372,378,916/110,284
  6. Step 6: Final answer
    x = 248,199.00

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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.