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Finding the Third Proportional to 146,224 and 318,890

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Solution

The third proportional to 146,224 and 318,890 is: 695,445.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,224 : 318,890 = 318,890 : x
  2. Step 2: Convert to fraction form
    146,224/318,890 = 318,890/x
  3. Step 3: Cross multiply
    146,224x = 318,890 × 318,890
  4. Step 4: Simplify right side
    146,224x = 101,690,832,100
  5. Step 5: Solve for x
    x = 101,690,832,100/146,224
  6. Step 6: Final answer
    x = 695,445.56

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.