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Finding the Third Proportional to 192,146 and 412,724

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Solution

The third proportional to 192,146 and 412,724 is: 886,519.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,146 : 412,724 = 412,724 : x
  2. Step 2: Convert to fraction form
    192,146/412,724 = 412,724/x
  3. Step 3: Cross multiply
    192,146x = 412,724 × 412,724
  4. Step 4: Simplify right side
    192,146x = 170,341,100,176
  5. Step 5: Solve for x
    x = 170,341,100,176/192,146
  6. Step 6: Final answer
    x = 886,519.11

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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.