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Finding the Third Proportional to 171,451.75 and 376,841

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Solution

The third proportional to 171,451.75 and 376,841 is: 828,274.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,451.75 : 376,841 = 376,841 : x
  2. Step 2: Convert to fraction form
    171,451.75/376,841 = 376,841/x
  3. Step 3: Cross multiply
    171,451.75x = 376,841 × 376,841
  4. Step 4: Simplify right side
    171,451.75x = 142,009,139,281
  5. Step 5: Solve for x
    x = 142,009,139,281/171,451.75
  6. Step 6: Final answer
    x = 828,274.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.