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Finding the Third Proportional to 153,300 and 332,847

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Solution

The third proportional to 153,300 and 332,847 is: 722,681.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,300 : 332,847 = 332,847 : x
  2. Step 2: Convert to fraction form
    153,300/332,847 = 332,847/x
  3. Step 3: Cross multiply
    153,300x = 332,847 × 332,847
  4. Step 4: Simplify right side
    153,300x = 110,787,125,409
  5. Step 5: Solve for x
    x = 110,787,125,409/153,300
  6. Step 6: Final answer
    x = 722,681.84

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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.