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Finding the Third Proportional to 160,744 and 343,630

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Solution

The third proportional to 160,744 and 343,630 is: 734,593.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,744 : 343,630 = 343,630 : x
  2. Step 2: Convert to fraction form
    160,744/343,630 = 343,630/x
  3. Step 3: Cross multiply
    160,744x = 343,630 × 343,630
  4. Step 4: Simplify right side
    160,744x = 118,081,576,900
  5. Step 5: Solve for x
    x = 118,081,576,900/160,744
  6. Step 6: Final answer
    x = 734,593.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.