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Finding the Third Proportional to 73,292 and 160,928

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Solution

The third proportional to 73,292 and 160,928 is: 353,351.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,292 : 160,928 = 160,928 : x
  2. Step 2: Convert to fraction form
    73,292/160,928 = 160,928/x
  3. Step 3: Cross multiply
    73,292x = 160,928 × 160,928
  4. Step 4: Simplify right side
    73,292x = 25,897,821,184
  5. Step 5: Solve for x
    x = 25,897,821,184/73,292
  6. Step 6: Final answer
    x = 353,351.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.