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Finding the Third Proportional to 114,513.75 and 244,240.31

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Solution

The third proportional to 114,513.75 and 244,240.31 is: 520,927.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,513.75 : 244,240.31 = 244,240.31 : x
  2. Step 2: Convert to fraction form
    114,513.75/244,240.31 = 244,240.31/x
  3. Step 3: Cross multiply
    114,513.75x = 244,240.31 × 244,240.31
  4. Step 4: Simplify right side
    114,513.75x = 59,653,330,250.10
  5. Step 5: Solve for x
    x = 59,653,330,250.10/114,513.75
  6. Step 6: Final answer
    x = 520,927.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.