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Finding the Third Proportional to 192,114 and 413,820

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Solution

The third proportional to 192,114 and 413,820 is: 891,382.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,114 : 413,820 = 413,820 : x
  2. Step 2: Convert to fraction form
    192,114/413,820 = 413,820/x
  3. Step 3: Cross multiply
    192,114x = 413,820 × 413,820
  4. Step 4: Simplify right side
    192,114x = 171,246,992,400
  5. Step 5: Solve for x
    x = 171,246,992,400/192,114
  6. Step 6: Final answer
    x = 891,382.16

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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.