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Finding the Third Proportional to 171,079 and 376,501

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Solution

The third proportional to 171,079 and 376,501 is: 828,582.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,079 : 376,501 = 376,501 : x
  2. Step 2: Convert to fraction form
    171,079/376,501 = 376,501/x
  3. Step 3: Cross multiply
    171,079x = 376,501 × 376,501
  4. Step 4: Simplify right side
    171,079x = 141,753,003,001
  5. Step 5: Solve for x
    x = 141,753,003,001/171,079
  6. Step 6: Final answer
    x = 828,582.13

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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.