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Finding the Third Proportional to 106,088 and 230,845

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Solution

The third proportional to 106,088 and 230,845 is: 502,313.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,088 : 230,845 = 230,845 : x
  2. Step 2: Convert to fraction form
    106,088/230,845 = 230,845/x
  3. Step 3: Cross multiply
    106,088x = 230,845 × 230,845
  4. Step 4: Simplify right side
    106,088x = 53,289,414,025
  5. Step 5: Solve for x
    x = 53,289,414,025/106,088
  6. Step 6: Final answer
    x = 502,313.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.