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Finding the Third Proportional to 192,031 and 420,796.50

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Solution

The third proportional to 192,031 and 420,796.50 is: 922,089.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,031 : 420,796.50 = 420,796.50 : x
  2. Step 2: Convert to fraction form
    192,031/420,796.50 = 420,796.50/x
  3. Step 3: Cross multiply
    192,031x = 420,796.50 × 420,796.50
  4. Step 4: Simplify right side
    192,031x = 177,069,694,412.25
  5. Step 5: Solve for x
    x = 177,069,694,412.25/192,031
  6. Step 6: Final answer
    x = 922,089.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.