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Finding the Third Proportional to 107,291.50 and 230,945

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Solution

The third proportional to 107,291.50 and 230,945 is: 497,109.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,291.50 : 230,945 = 230,945 : x
  2. Step 2: Convert to fraction form
    107,291.50/230,945 = 230,945/x
  3. Step 3: Cross multiply
    107,291.50x = 230,945 × 230,945
  4. Step 4: Simplify right side
    107,291.50x = 53,335,593,025
  5. Step 5: Solve for x
    x = 53,335,593,025/107,291.50
  6. Step 6: Final answer
    x = 497,109.21

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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.