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Finding the Third Proportional to 237.23 and 347.70

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Solution

The third proportional to 237.23 and 347.70 is: 509.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.23 : 347.70 = 347.70 : x
  2. Step 2: Convert to fraction form
    237.23/347.70 = 347.70/x
  3. Step 3: Cross multiply
    237.23x = 347.70 × 347.70
  4. Step 4: Simplify right side
    237.23x = 120,892.03
  5. Step 5: Solve for x
    x = 120,892.03/237.23
  6. Step 6: Final answer
    x = 509.59

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.