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Finding the Third Proportional to 368.44 and 902.53

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Solution

The third proportional to 368.44 and 902.53 is: 2,210.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.44 : 902.53 = 902.53 : x
  2. Step 2: Convert to fraction form
    368.44/902.53 = 902.53/x
  3. Step 3: Cross multiply
    368.44x = 902.53 × 902.53
  4. Step 4: Simplify right side
    368.44x = 814,562.66
  5. Step 5: Solve for x
    x = 814,562.66/368.44
  6. Step 6: Final answer
    x = 2,210.86

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.