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Finding the Third Proportional to 152,086 and 332,774

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Solution

The third proportional to 152,086 and 332,774 is: 728,131.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,086 : 332,774 = 332,774 : x
  2. Step 2: Convert to fraction form
    152,086/332,774 = 332,774/x
  3. Step 3: Cross multiply
    152,086x = 332,774 × 332,774
  4. Step 4: Simplify right side
    152,086x = 110,738,535,076
  5. Step 5: Solve for x
    x = 110,738,535,076/152,086
  6. Step 6: Final answer
    x = 728,131.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.