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Finding the Third Proportional to 176,824 and 361,819

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Solution

The third proportional to 176,824 and 361,819 is: 740,357.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,824 : 361,819 = 361,819 : x
  2. Step 2: Convert to fraction form
    176,824/361,819 = 361,819/x
  3. Step 3: Cross multiply
    176,824x = 361,819 × 361,819
  4. Step 4: Simplify right side
    176,824x = 130,912,988,761
  5. Step 5: Solve for x
    x = 130,912,988,761/176,824
  6. Step 6: Final answer
    x = 740,357.58

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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.