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Finding the Third Proportional to 192,995 and 425,254

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Solution

The third proportional to 192,995 and 425,254 is: 937,024.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,995 : 425,254 = 425,254 : x
  2. Step 2: Convert to fraction form
    192,995/425,254 = 425,254/x
  3. Step 3: Cross multiply
    192,995x = 425,254 × 425,254
  4. Step 4: Simplify right side
    192,995x = 180,840,964,516
  5. Step 5: Solve for x
    x = 180,840,964,516/192,995
  6. Step 6: Final answer
    x = 937,024.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.