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Finding the Third Proportional to 215,418 and 460,157.25

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Solution

The third proportional to 215,418 and 460,157.25 is: 982,948.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,418 : 460,157.25 = 460,157.25 : x
  2. Step 2: Convert to fraction form
    215,418/460,157.25 = 460,157.25/x
  3. Step 3: Cross multiply
    215,418x = 460,157.25 × 460,157.25
  4. Step 4: Simplify right side
    215,418x = 211,744,694,727.56
  5. Step 5: Solve for x
    x = 211,744,694,727.56/215,418
  6. Step 6: Final answer
    x = 982,948.01

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.