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Finding the Third Proportional to 206.93 and 304.70

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Solution

The third proportional to 206.93 and 304.70 is: 448.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.93 : 304.70 = 304.70 : x
  2. Step 2: Convert to fraction form
    206.93/304.70 = 304.70/x
  3. Step 3: Cross multiply
    206.93x = 304.70 × 304.70
  4. Step 4: Simplify right side
    206.93x = 92,841.61
  5. Step 5: Solve for x
    x = 92,841.61/206.93
  6. Step 6: Final answer
    x = 448.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.