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Finding the Third Proportional to 74,208.66 and 174,997.97

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Solution

The third proportional to 74,208.66 and 174,997.97 is: 412,678.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,208.66 : 174,997.97 = 174,997.97 : x
  2. Step 2: Convert to fraction form
    74,208.66/174,997.97 = 174,997.97/x
  3. Step 3: Cross multiply
    74,208.66x = 174,997.97 × 174,997.97
  4. Step 4: Simplify right side
    74,208.66x = 30,624,289,066.63
  5. Step 5: Solve for x
    x = 30,624,289,066.63/74,208.66
  6. Step 6: Final answer
    x = 412,678.12

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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.