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Finding the Third Proportional to 111,496.50 and 232,267.50

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Solution

The third proportional to 111,496.50 and 232,267.50 is: 483,855.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,496.50 : 232,267.50 = 232,267.50 : x
  2. Step 2: Convert to fraction form
    111,496.50/232,267.50 = 232,267.50/x
  3. Step 3: Cross multiply
    111,496.50x = 232,267.50 × 232,267.50
  4. Step 4: Simplify right side
    111,496.50x = 53,948,191,556.25
  5. Step 5: Solve for x
    x = 53,948,191,556.25/111,496.50
  6. Step 6: Final answer
    x = 483,855.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.