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Finding the Third Proportional to 192,400.50 and 417,659.25

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Solution

The third proportional to 192,400.50 and 417,659.25 is: 906,646.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,400.50 : 417,659.25 = 417,659.25 : x
  2. Step 2: Convert to fraction form
    192,400.50/417,659.25 = 417,659.25/x
  3. Step 3: Cross multiply
    192,400.50x = 417,659.25 × 417,659.25
  4. Step 4: Simplify right side
    192,400.50x = 174,439,249,110.56
  5. Step 5: Solve for x
    x = 174,439,249,110.56/192,400.50
  6. Step 6: Final answer
    x = 906,646.55

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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.