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Finding the Third Proportional to 735.19 and 930.94

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Solution

The third proportional to 735.19 and 930.94 is: 1,178.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.19 : 930.94 = 930.94 : x
  2. Step 2: Convert to fraction form
    735.19/930.94 = 930.94/x
  3. Step 3: Cross multiply
    735.19x = 930.94 × 930.94
  4. Step 4: Simplify right side
    735.19x = 866,644.63
  5. Step 5: Solve for x
    x = 866,644.63/735.19
  6. Step 6: Final answer
    x = 1,178.81

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.