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Finding the Third Proportional to 170,024 and 369,856

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Solution

The third proportional to 170,024 and 369,856 is: 804,553.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,024 : 369,856 = 369,856 : x
  2. Step 2: Convert to fraction form
    170,024/369,856 = 369,856/x
  3. Step 3: Cross multiply
    170,024x = 369,856 × 369,856
  4. Step 4: Simplify right side
    170,024x = 136,793,460,736
  5. Step 5: Solve for x
    x = 136,793,460,736/170,024
  6. Step 6: Final answer
    x = 804,553.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.