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Finding the Third Proportional to 160,744 and 343,632

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Solution

The third proportional to 160,744 and 343,632 is: 734,602.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,744 : 343,632 = 343,632 : x
  2. Step 2: Convert to fraction form
    160,744/343,632 = 343,632/x
  3. Step 3: Cross multiply
    160,744x = 343,632 × 343,632
  4. Step 4: Simplify right side
    160,744x = 118,082,951,424
  5. Step 5: Solve for x
    x = 118,082,951,424/160,744
  6. Step 6: Final answer
    x = 734,602.54

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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.