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Finding the Third Proportional to 183,016.69 and 374,952.09

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Solution

The third proportional to 183,016.69 and 374,952.09 is: 768,176.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,016.69 : 374,952.09 = 374,952.09 : x
  2. Step 2: Convert to fraction form
    183,016.69/374,952.09 = 374,952.09/x
  3. Step 3: Cross multiply
    183,016.69x = 374,952.09 × 374,952.09
  4. Step 4: Simplify right side
    183,016.69x = 140,589,072,607.51
  5. Step 5: Solve for x
    x = 140,589,072,607.51/183,016.69
  6. Step 6: Final answer
    x = 768,176.25

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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.