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Finding the Third Proportional to 192,133.69 and 417,490.03

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Solution

The third proportional to 192,133.69 and 417,490.03 is: 907,170.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,133.69 : 417,490.03 = 417,490.03 : x
  2. Step 2: Convert to fraction form
    192,133.69/417,490.03 = 417,490.03/x
  3. Step 3: Cross multiply
    192,133.69x = 417,490.03 × 417,490.03
  4. Step 4: Simplify right side
    192,133.69x = 174,297,926,193.13
  5. Step 5: Solve for x
    x = 174,297,926,193.13/192,133.69
  6. Step 6: Final answer
    x = 907,170.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.