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Finding the Third Proportional to 179,860.50 and 374,473.13

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Solution

The third proportional to 179,860.50 and 374,473.13 is: 779,660.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,860.50 : 374,473.13 = 374,473.13 : x
  2. Step 2: Convert to fraction form
    179,860.50/374,473.13 = 374,473.13/x
  3. Step 3: Cross multiply
    179,860.50x = 374,473.13 × 374,473.13
  4. Step 4: Simplify right side
    179,860.50x = 140,230,121,347.27
  5. Step 5: Solve for x
    x = 140,230,121,347.27/179,860.50
  6. Step 6: Final answer
    x = 779,660.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.