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Finding the Third Proportional to 220.13 and 307.88

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Solution

The third proportional to 220.13 and 307.88 is: 430.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.13 : 307.88 = 307.88 : x
  2. Step 2: Convert to fraction form
    220.13/307.88 = 307.88/x
  3. Step 3: Cross multiply
    220.13x = 307.88 × 307.88
  4. Step 4: Simplify right side
    220.13x = 94,787.02
  5. Step 5: Solve for x
    x = 94,787.02/220.13
  6. Step 6: Final answer
    x = 430.61

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.