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Finding the Third Proportional to 73,469.25 and 153,297

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Solution

The third proportional to 73,469.25 and 153,297 is: 319,861.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,469.25 : 153,297 = 153,297 : x
  2. Step 2: Convert to fraction form
    73,469.25/153,297 = 153,297/x
  3. Step 3: Cross multiply
    73,469.25x = 153,297 × 153,297
  4. Step 4: Simplify right side
    73,469.25x = 23,499,970,209
  5. Step 5: Solve for x
    x = 23,499,970,209/73,469.25
  6. Step 6: Final answer
    x = 319,861.31

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.