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Finding the Third Proportional to 284.34 and 365.77

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Solution

The third proportional to 284.34 and 365.77 is: 470.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.34 : 365.77 = 365.77 : x
  2. Step 2: Convert to fraction form
    284.34/365.77 = 365.77/x
  3. Step 3: Cross multiply
    284.34x = 365.77 × 365.77
  4. Step 4: Simplify right side
    284.34x = 133,784.49
  5. Step 5: Solve for x
    x = 133,784.49/284.34
  6. Step 6: Final answer
    x = 470.50

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.