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Finding the Third Proportional to 182,719.50 and 440,192

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Solution

The third proportional to 182,719.50 and 440,192 is: 1,060,472.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,719.50 : 440,192 = 440,192 : x
  2. Step 2: Convert to fraction form
    182,719.50/440,192 = 440,192/x
  3. Step 3: Cross multiply
    182,719.50x = 440,192 × 440,192
  4. Step 4: Simplify right side
    182,719.50x = 193,768,996,864
  5. Step 5: Solve for x
    x = 193,768,996,864/182,719.50
  6. Step 6: Final answer
    x = 1,060,472.46

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.