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Finding the Third Proportional to 141.56 and 304.31

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Solution

The third proportional to 141.56 and 304.31 is: 654.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.56 : 304.31 = 304.31 : x
  2. Step 2: Convert to fraction form
    141.56/304.31 = 304.31/x
  3. Step 3: Cross multiply
    141.56x = 304.31 × 304.31
  4. Step 4: Simplify right side
    141.56x = 92,606.10
  5. Step 5: Solve for x
    x = 92,606.10/141.56
  6. Step 6: Final answer
    x = 654.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.