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Finding the Third Proportional to 215.88 and 470

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Solution

The third proportional to 215.88 and 470 is: 1,023.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.88 : 470 = 470 : x
  2. Step 2: Convert to fraction form
    215.88/470 = 470/x
  3. Step 3: Cross multiply
    215.88x = 470 × 470
  4. Step 4: Simplify right side
    215.88x = 220,900
  5. Step 5: Solve for x
    x = 220,900/215.88
  6. Step 6: Final answer
    x = 1,023.28

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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.