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Finding the Third Proportional to 106,690.50 and 246,359.81

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Solution

The third proportional to 106,690.50 and 246,359.81 is: 568,871.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,690.50 : 246,359.81 = 246,359.81 : x
  2. Step 2: Convert to fraction form
    106,690.50/246,359.81 = 246,359.81/x
  3. Step 3: Cross multiply
    106,690.50x = 246,359.81 × 246,359.81
  4. Step 4: Simplify right side
    106,690.50x = 60,693,157,215.04
  5. Step 5: Solve for x
    x = 60,693,157,215.04/106,690.50
  6. Step 6: Final answer
    x = 568,871.24

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.