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Finding the Third Proportional to 237.56 and 347.34

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Solution

The third proportional to 237.56 and 347.34 is: 507.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.56 : 347.34 = 347.34 : x
  2. Step 2: Convert to fraction form
    237.56/347.34 = 347.34/x
  3. Step 3: Cross multiply
    237.56x = 347.34 × 347.34
  4. Step 4: Simplify right side
    237.56x = 120,647.68
  5. Step 5: Solve for x
    x = 120,647.68/237.56
  6. Step 6: Final answer
    x = 507.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.