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Finding the Third Proportional to 802.13 and 1,208.44

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Solution

The third proportional to 802.13 and 1,208.44 is: 1,820.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.13 : 1,208.44 = 1,208.44 : x
  2. Step 2: Convert to fraction form
    802.13/1,208.44 = 1,208.44/x
  3. Step 3: Cross multiply
    802.13x = 1,208.44 × 1,208.44
  4. Step 4: Simplify right side
    802.13x = 1,460,321.19
  5. Step 5: Solve for x
    x = 1,460,321.19/802.13
  6. Step 6: Final answer
    x = 1,820.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.