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Finding the Third Proportional to 147,882 and 320,676

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Solution

The third proportional to 147,882 and 320,676 is: 695,372.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,882 : 320,676 = 320,676 : x
  2. Step 2: Convert to fraction form
    147,882/320,676 = 320,676/x
  3. Step 3: Cross multiply
    147,882x = 320,676 × 320,676
  4. Step 4: Simplify right side
    147,882x = 102,833,096,976
  5. Step 5: Solve for x
    x = 102,833,096,976/147,882
  6. Step 6: Final answer
    x = 695,372.64

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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.