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Finding the Third Proportional to 356.25 and 543.75

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Solution

The third proportional to 356.25 and 543.75 is: 829.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.25 : 543.75 = 543.75 : x
  2. Step 2: Convert to fraction form
    356.25/543.75 = 543.75/x
  3. Step 3: Cross multiply
    356.25x = 543.75 × 543.75
  4. Step 4: Simplify right side
    356.25x = 295,664.06
  5. Step 5: Solve for x
    x = 295,664.06/356.25
  6. Step 6: Final answer
    x = 829.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.