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Finding the Third Proportional to 236.63 and 347.27

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Solution

The third proportional to 236.63 and 347.27 is: 509.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.63 : 347.27 = 347.27 : x
  2. Step 2: Convert to fraction form
    236.63/347.27 = 347.27/x
  3. Step 3: Cross multiply
    236.63x = 347.27 × 347.27
  4. Step 4: Simplify right side
    236.63x = 120,598.84
  5. Step 5: Solve for x
    x = 120,598.84/236.63
  6. Step 6: Final answer
    x = 509.66

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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.