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Finding the Third Proportional to 147,976 and 320,850

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Solution

The third proportional to 147,976 and 320,850 is: 695,685.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,976 : 320,850 = 320,850 : x
  2. Step 2: Convert to fraction form
    147,976/320,850 = 320,850/x
  3. Step 3: Cross multiply
    147,976x = 320,850 × 320,850
  4. Step 4: Simplify right side
    147,976x = 102,944,722,500
  5. Step 5: Solve for x
    x = 102,944,722,500/147,976
  6. Step 6: Final answer
    x = 695,685.26

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