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Finding the Third Proportional to 160,762 and 343,667

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Solution

The third proportional to 160,762 and 343,667 is: 734,669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,762 : 343,667 = 343,667 : x
  2. Step 2: Convert to fraction form
    160,762/343,667 = 343,667/x
  3. Step 3: Cross multiply
    160,762x = 343,667 × 343,667
  4. Step 4: Simplify right side
    160,762x = 118,107,006,889
  5. Step 5: Solve for x
    x = 118,107,006,889/160,762
  6. Step 6: Final answer
    x = 734,669.93

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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.