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Finding the Third Proportional to 176,270 and 343,684

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Solution

The third proportional to 176,270 and 343,684 is: 670,100.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,270 : 343,684 = 343,684 : x
  2. Step 2: Convert to fraction form
    176,270/343,684 = 343,684/x
  3. Step 3: Cross multiply
    176,270x = 343,684 × 343,684
  4. Step 4: Simplify right side
    176,270x = 118,118,691,856
  5. Step 5: Solve for x
    x = 118,118,691,856/176,270
  6. Step 6: Final answer
    x = 670,100.94

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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.