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Finding the Third Proportional to 215 and 469.75

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Solution

The third proportional to 215 and 469.75 is: 1,026.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    215 : 469.75 = 469.75 : x
  2. Step 2: Convert to fraction form
    215/469.75 = 469.75/x
  3. Step 3: Cross multiply
    215x = 469.75 × 469.75
  4. Step 4: Simplify right side
    215x = 220,665.06
  5. Step 5: Solve for x
    x = 220,665.06/215
  6. Step 6: Final answer
    x = 1,026.35

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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.