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Finding the Third Proportional to 214.88 and 469.06

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Solution

The third proportional to 214.88 and 469.06 is: 1,023.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.88 : 469.06 = 469.06 : x
  2. Step 2: Convert to fraction form
    214.88/469.06 = 469.06/x
  3. Step 3: Cross multiply
    214.88x = 469.06 × 469.06
  4. Step 4: Simplify right side
    214.88x = 220,019.63
  5. Step 5: Solve for x
    x = 220,019.63/214.88
  6. Step 6: Final answer
    x = 1,023.94

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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.