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Finding the Third Proportional to 357.50 and 542.25

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Solution

The third proportional to 357.50 and 542.25 is: 822.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.50 : 542.25 = 542.25 : x
  2. Step 2: Convert to fraction form
    357.50/542.25 = 542.25/x
  3. Step 3: Cross multiply
    357.50x = 542.25 × 542.25
  4. Step 4: Simplify right side
    357.50x = 294,035.06
  5. Step 5: Solve for x
    x = 294,035.06/357.50
  6. Step 6: Final answer
    x = 822.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.