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Finding the Third Proportional to 304.31 and 656.16

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Solution

The third proportional to 304.31 and 656.16 is: 1,414.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.31 : 656.16 = 656.16 : x
  2. Step 2: Convert to fraction form
    304.31/656.16 = 656.16/x
  3. Step 3: Cross multiply
    304.31x = 656.16 × 656.16
  4. Step 4: Simplify right side
    304.31x = 430,541.02
  5. Step 5: Solve for x
    x = 430,541.02/304.31
  6. Step 6: Final answer
    x = 1,414.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.