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Finding the Third Proportional to 153,504 and 332,568

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Solution

The third proportional to 153,504 and 332,568 is: 720,512.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,504 : 332,568 = 332,568 : x
  2. Step 2: Convert to fraction form
    153,504/332,568 = 332,568/x
  3. Step 3: Cross multiply
    153,504x = 332,568 × 332,568
  4. Step 4: Simplify right side
    153,504x = 110,601,474,624
  5. Step 5: Solve for x
    x = 110,601,474,624/153,504
  6. Step 6: Final answer
    x = 720,512.00

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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.