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Finding the Third Proportional to 802.31 and 1,200.19

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Solution

The third proportional to 802.31 and 1,200.19 is: 1,795.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.31 : 1,200.19 = 1,200.19 : x
  2. Step 2: Convert to fraction form
    802.31/1,200.19 = 1,200.19/x
  3. Step 3: Cross multiply
    802.31x = 1,200.19 × 1,200.19
  4. Step 4: Simplify right side
    802.31x = 1,440,450.04
  5. Step 5: Solve for x
    x = 1,440,450.04/802.31
  6. Step 6: Final answer
    x = 1,795.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.