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Finding the Third Proportional to 284.06 and 320.06

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Solution

The third proportional to 284.06 and 320.06 is: 360.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.06 : 320.06 = 320.06 : x
  2. Step 2: Convert to fraction form
    284.06/320.06 = 320.06/x
  3. Step 3: Cross multiply
    284.06x = 320.06 × 320.06
  4. Step 4: Simplify right side
    284.06x = 102,440.00
  5. Step 5: Solve for x
    x = 102,440.00/284.06
  6. Step 6: Final answer
    x = 360.62

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.