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Finding the Third Proportional to 215.16 and 469.41

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Solution

The third proportional to 215.16 and 469.41 is: 1,024.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.16 : 469.41 = 469.41 : x
  2. Step 2: Convert to fraction form
    215.16/469.41 = 469.41/x
  3. Step 3: Cross multiply
    215.16x = 469.41 × 469.41
  4. Step 4: Simplify right side
    215.16x = 220,342.23
  5. Step 5: Solve for x
    x = 220,342.23/215.16
  6. Step 6: Final answer
    x = 1,024.10

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Why These Related Problems?

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