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Finding the Third Proportional to 114,464.25 and 248,626.13

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Solution

The third proportional to 114,464.25 and 248,626.13 is: 540,037.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,464.25 : 248,626.13 = 248,626.13 : x
  2. Step 2: Convert to fraction form
    114,464.25/248,626.13 = 248,626.13/x
  3. Step 3: Cross multiply
    114,464.25x = 248,626.13 × 248,626.13
  4. Step 4: Simplify right side
    114,464.25x = 61,814,950,032.52
  5. Step 5: Solve for x
    x = 61,814,950,032.52/114,464.25
  6. Step 6: Final answer
    x = 540,037.17

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Why These Related Problems?

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