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Finding the Third Proportional to 107,640 and 230,004

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Solution

The third proportional to 107,640 and 230,004 is: 491,470.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,640 : 230,004 = 230,004 : x
  2. Step 2: Convert to fraction form
    107,640/230,004 = 230,004/x
  3. Step 3: Cross multiply
    107,640x = 230,004 × 230,004
  4. Step 4: Simplify right side
    107,640x = 52,901,840,016
  5. Step 5: Solve for x
    x = 52,901,840,016/107,640
  6. Step 6: Final answer
    x = 491,470.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.