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Finding the Third Proportional to 111,579.50 and 232,184

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Solution

The third proportional to 111,579.50 and 232,184 is: 483,147.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,579.50 : 232,184 = 232,184 : x
  2. Step 2: Convert to fraction form
    111,579.50/232,184 = 232,184/x
  3. Step 3: Cross multiply
    111,579.50x = 232,184 × 232,184
  4. Step 4: Simplify right side
    111,579.50x = 53,909,409,856
  5. Step 5: Solve for x
    x = 53,909,409,856/111,579.50
  6. Step 6: Final answer
    x = 483,147.98

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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.