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Finding the Third Proportional to 357.38 and 536.07

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Solution

The third proportional to 357.38 and 536.07 is: 804.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.38 : 536.07 = 536.07 : x
  2. Step 2: Convert to fraction form
    357.38/536.07 = 536.07/x
  3. Step 3: Cross multiply
    357.38x = 536.07 × 536.07
  4. Step 4: Simplify right side
    357.38x = 287,372.43
  5. Step 5: Solve for x
    x = 287,372.43/357.38
  6. Step 6: Final answer
    x = 804.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.