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Finding the Third Proportional to 74,194.13 and 174,967.38

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Solution

The third proportional to 74,194.13 and 174,967.38 is: 412,614.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,194.13 : 174,967.38 = 174,967.38 : x
  2. Step 2: Convert to fraction form
    74,194.13/174,967.38 = 174,967.38/x
  3. Step 3: Cross multiply
    74,194.13x = 174,967.38 × 174,967.38
  4. Step 4: Simplify right side
    74,194.13x = 30,613,582,314.39
  5. Step 5: Solve for x
    x = 30,613,582,314.39/74,194.13
  6. Step 6: Final answer
    x = 412,614.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.