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Finding the Third Proportional to 192,768.75 and 417,712.50

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Solution

The third proportional to 192,768.75 and 417,712.50 is: 905,145.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,768.75 : 417,712.50 = 417,712.50 : x
  2. Step 2: Convert to fraction form
    192,768.75/417,712.50 = 417,712.50/x
  3. Step 3: Cross multiply
    192,768.75x = 417,712.50 × 417,712.50
  4. Step 4: Simplify right side
    192,768.75x = 174,483,732,656.25
  5. Step 5: Solve for x
    x = 174,483,732,656.25/192,768.75
  6. Step 6: Final answer
    x = 905,145.32

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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.