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Finding the Third Proportional to 153,765 and 332,802

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Solution

The third proportional to 153,765 and 332,802 is: 720,301.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,765 : 332,802 = 332,802 : x
  2. Step 2: Convert to fraction form
    153,765/332,802 = 332,802/x
  3. Step 3: Cross multiply
    153,765x = 332,802 × 332,802
  4. Step 4: Simplify right side
    153,765x = 110,757,171,204
  5. Step 5: Solve for x
    x = 110,757,171,204/153,765
  6. Step 6: Final answer
    x = 720,301.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.