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Finding the Third Proportional to 192,254 and 412,924

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Solution

The third proportional to 192,254 and 412,924 is: 886,880.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,254 : 412,924 = 412,924 : x
  2. Step 2: Convert to fraction form
    192,254/412,924 = 412,924/x
  3. Step 3: Cross multiply
    192,254x = 412,924 × 412,924
  4. Step 4: Simplify right side
    192,254x = 170,506,229,776
  5. Step 5: Solve for x
    x = 170,506,229,776/192,254
  6. Step 6: Final answer
    x = 886,880.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.