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Finding the Third Proportional to 176,828 and 361,828

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Solution

The third proportional to 176,828 and 361,828 is: 740,377.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,828 : 361,828 = 361,828 : x
  2. Step 2: Convert to fraction form
    176,828/361,828 = 361,828/x
  3. Step 3: Cross multiply
    176,828x = 361,828 × 361,828
  4. Step 4: Simplify right side
    176,828x = 130,919,501,584
  5. Step 5: Solve for x
    x = 130,919,501,584/176,828
  6. Step 6: Final answer
    x = 740,377.66

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.