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Finding the Third Proportional to 120,490.13 and 261,722.06

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Solution

The third proportional to 120,490.13 and 261,722.06 is: 568,498.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,490.13 : 261,722.06 = 261,722.06 : x
  2. Step 2: Convert to fraction form
    120,490.13/261,722.06 = 261,722.06/x
  3. Step 3: Cross multiply
    120,490.13x = 261,722.06 × 261,722.06
  4. Step 4: Simplify right side
    120,490.13x = 68,498,437,999.25
  5. Step 5: Solve for x
    x = 68,498,437,999.25/120,490.13
  6. Step 6: Final answer
    x = 568,498.36

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.