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Finding the Third Proportional to 120,472.31 and 262,396.13

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Solution

The third proportional to 120,472.31 and 262,396.13 is: 571,514.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,472.31 : 262,396.13 = 262,396.13 : x
  2. Step 2: Convert to fraction form
    120,472.31/262,396.13 = 262,396.13/x
  3. Step 3: Cross multiply
    120,472.31x = 262,396.13 × 262,396.13
  4. Step 4: Simplify right side
    120,472.31x = 68,851,726,415.02
  5. Step 5: Solve for x
    x = 68,851,726,415.02/120,472.31
  6. Step 6: Final answer
    x = 571,514.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.