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Finding the Third Proportional to 352.69 and 525.66

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Solution

The third proportional to 352.69 and 525.66 is: 783.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.69 : 525.66 = 525.66 : x
  2. Step 2: Convert to fraction form
    352.69/525.66 = 525.66/x
  3. Step 3: Cross multiply
    352.69x = 525.66 × 525.66
  4. Step 4: Simplify right side
    352.69x = 276,314.49
  5. Step 5: Solve for x
    x = 276,314.49/352.69
  6. Step 6: Final answer
    x = 783.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.