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Finding the Third Proportional to 237.09 and 347.63

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Solution

The third proportional to 237.09 and 347.63 is: 509.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.09 : 347.63 = 347.63 : x
  2. Step 2: Convert to fraction form
    237.09/347.63 = 347.63/x
  3. Step 3: Cross multiply
    237.09x = 347.63 × 347.63
  4. Step 4: Simplify right side
    237.09x = 120,843.14
  5. Step 5: Solve for x
    x = 120,843.14/237.09
  6. Step 6: Final answer
    x = 509.69

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Why These Related Problems?

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