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Finding the Third Proportional to 182,192.34 and 400,254.19

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Solution

The third proportional to 182,192.34 and 400,254.19 is: 879,309.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,192.34 : 400,254.19 = 400,254.19 : x
  2. Step 2: Convert to fraction form
    182,192.34/400,254.19 = 400,254.19/x
  3. Step 3: Cross multiply
    182,192.34x = 400,254.19 × 400,254.19
  4. Step 4: Simplify right side
    182,192.34x = 160,203,414,611.29
  5. Step 5: Solve for x
    x = 160,203,414,611.29/182,192.34
  6. Step 6: Final answer
    x = 879,309.26

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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.