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Finding the Third Proportional to 192,224 and 412,862

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Solution

The third proportional to 192,224 and 412,862 is: 886,752.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,224 : 412,862 = 412,862 : x
  2. Step 2: Convert to fraction form
    192,224/412,862 = 412,862/x
  3. Step 3: Cross multiply
    192,224x = 412,862 × 412,862
  4. Step 4: Simplify right side
    192,224x = 170,455,031,044
  5. Step 5: Solve for x
    x = 170,455,031,044/192,224
  6. Step 6: Final answer
    x = 886,752.08

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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.