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Finding the Third Proportional to 106,054.50 and 230,775

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Solution

The third proportional to 106,054.50 and 230,775 is: 502,167.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,054.50 : 230,775 = 230,775 : x
  2. Step 2: Convert to fraction form
    106,054.50/230,775 = 230,775/x
  3. Step 3: Cross multiply
    106,054.50x = 230,775 × 230,775
  4. Step 4: Simplify right side
    106,054.50x = 53,257,100,625
  5. Step 5: Solve for x
    x = 53,257,100,625/106,054.50
  6. Step 6: Final answer
    x = 502,167.29

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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.