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Finding the Third Proportional to 206.75 and 442.63

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Solution

The third proportional to 206.75 and 442.63 is: 947.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.75 : 442.63 = 442.63 : x
  2. Step 2: Convert to fraction form
    206.75/442.63 = 442.63/x
  3. Step 3: Cross multiply
    206.75x = 442.63 × 442.63
  4. Step 4: Simplify right side
    206.75x = 195,916.89
  5. Step 5: Solve for x
    x = 195,916.89/206.75
  6. Step 6: Final answer
    x = 947.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.