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Finding the Third Proportional to 176,256 and 343,656

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Solution

The third proportional to 176,256 and 343,656 is: 670,044.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,256 : 343,656 = 343,656 : x
  2. Step 2: Convert to fraction form
    176,256/343,656 = 343,656/x
  3. Step 3: Cross multiply
    176,256x = 343,656 × 343,656
  4. Step 4: Simplify right side
    176,256x = 118,099,446,336
  5. Step 5: Solve for x
    x = 118,099,446,336/176,256
  6. Step 6: Final answer
    x = 670,044.97

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.