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Finding the Third Proportional to 356.75 and 536.13

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Solution

The third proportional to 356.75 and 536.13 is: 805.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.75 : 536.13 = 536.13 : x
  2. Step 2: Convert to fraction form
    356.75/536.13 = 536.13/x
  3. Step 3: Cross multiply
    356.75x = 536.13 × 536.13
  4. Step 4: Simplify right side
    356.75x = 287,430.02
  5. Step 5: Solve for x
    x = 287,430.02/356.75
  6. Step 6: Final answer
    x = 805.69

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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.