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Finding the Third Proportional to 153,566 and 335,500

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Solution

The third proportional to 153,566 and 335,500 is: 732,976.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,566 : 335,500 = 335,500 : x
  2. Step 2: Convert to fraction form
    153,566/335,500 = 335,500/x
  3. Step 3: Cross multiply
    153,566x = 335,500 × 335,500
  4. Step 4: Simplify right side
    153,566x = 112,560,250,000
  5. Step 5: Solve for x
    x = 112,560,250,000/153,566
  6. Step 6: Final answer
    x = 732,976.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.