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Finding the Third Proportional to 165,176 and 353,672

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Solution

The third proportional to 165,176 and 353,672 is: 757,276.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,176 : 353,672 = 353,672 : x
  2. Step 2: Convert to fraction form
    165,176/353,672 = 353,672/x
  3. Step 3: Cross multiply
    165,176x = 353,672 × 353,672
  4. Step 4: Simplify right side
    165,176x = 125,083,883,584
  5. Step 5: Solve for x
    x = 125,083,883,584/165,176
  6. Step 6: Final answer
    x = 757,276.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.