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Finding the Third Proportional to 230,053.50 and 471,261

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Solution

The third proportional to 230,053.50 and 471,261 is: 965,370.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,053.50 : 471,261 = 471,261 : x
  2. Step 2: Convert to fraction form
    230,053.50/471,261 = 471,261/x
  3. Step 3: Cross multiply
    230,053.50x = 471,261 × 471,261
  4. Step 4: Simplify right side
    230,053.50x = 222,086,930,121
  5. Step 5: Solve for x
    x = 222,086,930,121/230,053.50
  6. Step 6: Final answer
    x = 965,370.79

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.