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Finding the Third Proportional to 152,836 and 332,024

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Solution

The third proportional to 152,836 and 332,024 is: 721,295.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,836 : 332,024 = 332,024 : x
  2. Step 2: Convert to fraction form
    152,836/332,024 = 332,024/x
  3. Step 3: Cross multiply
    152,836x = 332,024 × 332,024
  4. Step 4: Simplify right side
    152,836x = 110,239,936,576
  5. Step 5: Solve for x
    x = 110,239,936,576/152,836
  6. Step 6: Final answer
    x = 721,295.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.