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Finding the Third Proportional to 147,793 and 320,279

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Solution

The third proportional to 147,793 and 320,279 is: 694,069.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,793 : 320,279 = 320,279 : x
  2. Step 2: Convert to fraction form
    147,793/320,279 = 320,279/x
  3. Step 3: Cross multiply
    147,793x = 320,279 × 320,279
  4. Step 4: Simplify right side
    147,793x = 102,578,637,841
  5. Step 5: Solve for x
    x = 102,578,637,841/147,793
  6. Step 6: Final answer
    x = 694,069.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.