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Finding the Third Proportional to 109,356.19 and 260,814.94

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Solution

The third proportional to 109,356.19 and 260,814.94 is: 622,044.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,356.19 : 260,814.94 = 260,814.94 : x
  2. Step 2: Convert to fraction form
    109,356.19/260,814.94 = 260,814.94/x
  3. Step 3: Cross multiply
    109,356.19x = 260,814.94 × 260,814.94
  4. Step 4: Simplify right side
    109,356.19x = 68,024,431,623.13
  5. Step 5: Solve for x
    x = 68,024,431,623.13/109,356.19
  6. Step 6: Final answer
    x = 622,044.65

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These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.