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Finding the Third Proportional to 207.40 and 304.70

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Solution

The third proportional to 207.40 and 304.70 is: 447.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.40 : 304.70 = 304.70 : x
  2. Step 2: Convert to fraction form
    207.40/304.70 = 304.70/x
  3. Step 3: Cross multiply
    207.40x = 304.70 × 304.70
  4. Step 4: Simplify right side
    207.40x = 92,841.61
  5. Step 5: Solve for x
    x = 92,841.61/207.40
  6. Step 6: Final answer
    x = 447.64

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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.