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Finding the Third Proportional to 179,630 and 370,924

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Solution

The third proportional to 179,630 and 370,924 is: 765,933.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,630 : 370,924 = 370,924 : x
  2. Step 2: Convert to fraction form
    179,630/370,924 = 370,924/x
  3. Step 3: Cross multiply
    179,630x = 370,924 × 370,924
  4. Step 4: Simplify right side
    179,630x = 137,584,613,776
  5. Step 5: Solve for x
    x = 137,584,613,776/179,630
  6. Step 6: Final answer
    x = 765,933.38

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.