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Finding the Third Proportional to 283.82 and 430.00

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Solution

The third proportional to 283.82 and 430.00 is: 651.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.82 : 430.00 = 430.00 : x
  2. Step 2: Convert to fraction form
    283.82/430.00 = 430.00/x
  3. Step 3: Cross multiply
    283.82x = 430.00 × 430.00
  4. Step 4: Simplify right side
    283.82x = 184,896.64
  5. Step 5: Solve for x
    x = 184,896.64/283.82
  6. Step 6: Final answer
    x = 651.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.