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Finding the Third Proportional to 73,233 and 160,477

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Solution

The third proportional to 73,233 and 160,477 is: 351,656.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,233 : 160,477 = 160,477 : x
  2. Step 2: Convert to fraction form
    73,233/160,477 = 160,477/x
  3. Step 3: Cross multiply
    73,233x = 160,477 × 160,477
  4. Step 4: Simplify right side
    73,233x = 25,752,867,529
  5. Step 5: Solve for x
    x = 25,752,867,529/73,233
  6. Step 6: Final answer
    x = 351,656.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.