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Finding the Third Proportional to 114,752.25 and 248,568.75

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Solution

The third proportional to 114,752.25 and 248,568.75 is: 538,433.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,752.25 : 248,568.75 = 248,568.75 : x
  2. Step 2: Convert to fraction form
    114,752.25/248,568.75 = 248,568.75/x
  3. Step 3: Cross multiply
    114,752.25x = 248,568.75 × 248,568.75
  4. Step 4: Simplify right side
    114,752.25x = 61,786,423,476.56
  5. Step 5: Solve for x
    x = 61,786,423,476.56/114,752.25
  6. Step 6: Final answer
    x = 538,433.22

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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.