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Finding the Third Proportional to 108,508.50 and 233,313.75

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Solution

The third proportional to 108,508.50 and 233,313.75 is: 501,668.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,508.50 : 233,313.75 = 233,313.75 : x
  2. Step 2: Convert to fraction form
    108,508.50/233,313.75 = 233,313.75/x
  3. Step 3: Cross multiply
    108,508.50x = 233,313.75 × 233,313.75
  4. Step 4: Simplify right side
    108,508.50x = 54,435,305,939.06
  5. Step 5: Solve for x
    x = 54,435,305,939.06/108,508.50
  6. Step 6: Final answer
    x = 501,668.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.