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Finding the Third Proportional to 237.94 and 353.53

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Solution

The third proportional to 237.94 and 353.53 is: 525.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.94 : 353.53 = 353.53 : x
  2. Step 2: Convert to fraction form
    237.94/353.53 = 353.53/x
  3. Step 3: Cross multiply
    237.94x = 353.53 × 353.53
  4. Step 4: Simplify right side
    237.94x = 124,984.34
  5. Step 5: Solve for x
    x = 124,984.34/237.94
  6. Step 6: Final answer
    x = 525.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.