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Finding the Third Proportional to 229.31 and 377.06

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Solution

The third proportional to 229.31 and 377.06 is: 620.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.31 : 377.06 = 377.06 : x
  2. Step 2: Convert to fraction form
    229.31/377.06 = 377.06/x
  3. Step 3: Cross multiply
    229.31x = 377.06 × 377.06
  4. Step 4: Simplify right side
    229.31x = 142,176.13
  5. Step 5: Solve for x
    x = 142,176.13/229.31
  6. Step 6: Final answer
    x = 620.01

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.