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Finding the Third Proportional to 108,546.75 and 233,705.25

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Solution

The third proportional to 108,546.75 and 233,705.25 is: 503,176.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,546.75 : 233,705.25 = 233,705.25 : x
  2. Step 2: Convert to fraction form
    108,546.75/233,705.25 = 233,705.25/x
  3. Step 3: Cross multiply
    108,546.75x = 233,705.25 × 233,705.25
  4. Step 4: Simplify right side
    108,546.75x = 54,618,143,877.56
  5. Step 5: Solve for x
    x = 54,618,143,877.56/108,546.75
  6. Step 6: Final answer
    x = 503,176.22

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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.