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Finding the Third Proportional to 171,226.63 and 369,874.38

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Solution

The third proportional to 171,226.63 and 369,874.38 is: 798,982.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,226.63 : 369,874.38 = 369,874.38 : x
  2. Step 2: Convert to fraction form
    171,226.63/369,874.38 = 369,874.38/x
  3. Step 3: Cross multiply
    171,226.63x = 369,874.38 × 369,874.38
  4. Step 4: Simplify right side
    171,226.63x = 136,807,053,281.64
  5. Step 5: Solve for x
    x = 136,807,053,281.64/171,226.63
  6. Step 6: Final answer
    x = 798,982.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.