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Finding the Third Proportional to 116,655 and 241,087

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Solution

The third proportional to 116,655 and 241,087 is: 498,246.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,655 : 241,087 = 241,087 : x
  2. Step 2: Convert to fraction form
    116,655/241,087 = 241,087/x
  3. Step 3: Cross multiply
    116,655x = 241,087 × 241,087
  4. Step 4: Simplify right side
    116,655x = 58,122,941,569
  5. Step 5: Solve for x
    x = 58,122,941,569/116,655
  6. Step 6: Final answer
    x = 498,246.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.