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Finding the Third Proportional to 233.06 and 564.28

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Solution

The third proportional to 233.06 and 564.28 is: 1,366.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.06 : 564.28 = 564.28 : x
  2. Step 2: Convert to fraction form
    233.06/564.28 = 564.28/x
  3. Step 3: Cross multiply
    233.06x = 564.28 × 564.28
  4. Step 4: Simplify right side
    233.06x = 318,413.33
  5. Step 5: Solve for x
    x = 318,413.33/233.06
  6. Step 6: Final answer
    x = 1,366.21

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.