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Finding the Third Proportional to 802.75 and 1,173.75

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Solution

The third proportional to 802.75 and 1,173.75 is: 1,716.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.75 : 1,173.75 = 1,173.75 : x
  2. Step 2: Convert to fraction form
    802.75/1,173.75 = 1,173.75/x
  3. Step 3: Cross multiply
    802.75x = 1,173.75 × 1,173.75
  4. Step 4: Simplify right side
    802.75x = 1,377,689.06
  5. Step 5: Solve for x
    x = 1,377,689.06/802.75
  6. Step 6: Final answer
    x = 1,716.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.