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Finding the Third Proportional to 317.06 and 362.06

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Solution

The third proportional to 317.06 and 362.06 is: 413.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.06 : 362.06 = 362.06 : x
  2. Step 2: Convert to fraction form
    317.06/362.06 = 362.06/x
  3. Step 3: Cross multiply
    317.06x = 362.06 × 362.06
  4. Step 4: Simplify right side
    317.06x = 131,089.25
  5. Step 5: Solve for x
    x = 131,089.25/317.06
  6. Step 6: Final answer
    x = 413.45

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.