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Finding the Third Proportional to 230,052.50 and 471,260

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Solution

The third proportional to 230,052.50 and 471,260 is: 965,370.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,052.50 : 471,260 = 471,260 : x
  2. Step 2: Convert to fraction form
    230,052.50/471,260 = 471,260/x
  3. Step 3: Cross multiply
    230,052.50x = 471,260 × 471,260
  4. Step 4: Simplify right side
    230,052.50x = 222,085,987,600
  5. Step 5: Solve for x
    x = 222,085,987,600/230,052.50
  6. Step 6: Final answer
    x = 965,370.89

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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.