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Finding the Third Proportional to 192,802.25 and 417,781.63

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Solution

The third proportional to 192,802.25 and 417,781.63 is: 905,287.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,802.25 : 417,781.63 = 417,781.63 : x
  2. Step 2: Convert to fraction form
    192,802.25/417,781.63 = 417,781.63/x
  3. Step 3: Cross multiply
    192,802.25x = 417,781.63 × 417,781.63
  4. Step 4: Simplify right side
    192,802.25x = 174,541,486,187.64
  5. Step 5: Solve for x
    x = 174,541,486,187.64/192,802.25
  6. Step 6: Final answer
    x = 905,287.60

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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.