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Finding the Third Proportional to 153,764 and 332,800

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Solution

The third proportional to 153,764 and 332,800 is: 720,297.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,764 : 332,800 = 332,800 : x
  2. Step 2: Convert to fraction form
    153,764/332,800 = 332,800/x
  3. Step 3: Cross multiply
    153,764x = 332,800 × 332,800
  4. Step 4: Simplify right side
    153,764x = 110,755,840,000
  5. Step 5: Solve for x
    x = 110,755,840,000/153,764
  6. Step 6: Final answer
    x = 720,297.60

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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.