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Finding the Third Proportional to 368.67 and 802.03

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Solution

The third proportional to 368.67 and 802.03 is: 1,744.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.67 : 802.03 = 802.03 : x
  2. Step 2: Convert to fraction form
    368.67/802.03 = 802.03/x
  3. Step 3: Cross multiply
    368.67x = 802.03 × 802.03
  4. Step 4: Simplify right side
    368.67x = 643,254.13
  5. Step 5: Solve for x
    x = 643,254.13/368.67
  6. Step 6: Final answer
    x = 1,744.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.