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Finding the Third Proportional to 153,750 and 333,744

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Solution

The third proportional to 153,750 and 333,744 is: 724,455.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,750 : 333,744 = 333,744 : x
  2. Step 2: Convert to fraction form
    153,750/333,744 = 333,744/x
  3. Step 3: Cross multiply
    153,750x = 333,744 × 333,744
  4. Step 4: Simplify right side
    153,750x = 111,385,057,536
  5. Step 5: Solve for x
    x = 111,385,057,536/153,750
  6. Step 6: Final answer
    x = 724,455.66

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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.