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Finding the Third Proportional to 114,890 and 240,244

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Solution

The third proportional to 114,890 and 240,244 is: 502,369.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,890 : 240,244 = 240,244 : x
  2. Step 2: Convert to fraction form
    114,890/240,244 = 240,244/x
  3. Step 3: Cross multiply
    114,890x = 240,244 × 240,244
  4. Step 4: Simplify right side
    114,890x = 57,717,179,536
  5. Step 5: Solve for x
    x = 57,717,179,536/114,890
  6. Step 6: Final answer
    x = 502,369.04

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.