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Finding the Third Proportional to 167,913 and 367,719.75

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Solution

The third proportional to 167,913 and 367,719.75 is: 805,284.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,913 : 367,719.75 = 367,719.75 : x
  2. Step 2: Convert to fraction form
    167,913/367,719.75 = 367,719.75/x
  3. Step 3: Cross multiply
    167,913x = 367,719.75 × 367,719.75
  4. Step 4: Simplify right side
    167,913x = 135,217,814,540.06
  5. Step 5: Solve for x
    x = 135,217,814,540.06/167,913
  6. Step 6: Final answer
    x = 805,284.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.