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Finding the Third Proportional to 152,566.25 and 332,255

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Solution

The third proportional to 152,566.25 and 332,255 is: 723,576.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,566.25 : 332,255 = 332,255 : x
  2. Step 2: Convert to fraction form
    152,566.25/332,255 = 332,255/x
  3. Step 3: Cross multiply
    152,566.25x = 332,255 × 332,255
  4. Step 4: Simplify right side
    152,566.25x = 110,393,385,025
  5. Step 5: Solve for x
    x = 110,393,385,025/152,566.25
  6. Step 6: Final answer
    x = 723,576.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.