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Finding the Third Proportional to 165,248 and 356,256

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Solution

The third proportional to 165,248 and 356,256 is: 768,047.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,248 : 356,256 = 356,256 : x
  2. Step 2: Convert to fraction form
    165,248/356,256 = 356,256/x
  3. Step 3: Cross multiply
    165,248x = 356,256 × 356,256
  4. Step 4: Simplify right side
    165,248x = 126,918,337,536
  5. Step 5: Solve for x
    x = 126,918,337,536/165,248
  6. Step 6: Final answer
    x = 768,047.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.