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Finding the Third Proportional to 171,864 and 376,260

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Solution

The third proportional to 171,864 and 376,260 is: 823,741.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,864 : 376,260 = 376,260 : x
  2. Step 2: Convert to fraction form
    171,864/376,260 = 376,260/x
  3. Step 3: Cross multiply
    171,864x = 376,260 × 376,260
  4. Step 4: Simplify right side
    171,864x = 141,571,587,600
  5. Step 5: Solve for x
    x = 141,571,587,600/171,864
  6. Step 6: Final answer
    x = 823,741.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.