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Finding the Third Proportional to 168.07 and 362.70

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Solution

The third proportional to 168.07 and 362.70 is: 782.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.07 : 362.70 = 362.70 : x
  2. Step 2: Convert to fraction form
    168.07/362.70 = 362.70/x
  3. Step 3: Cross multiply
    168.07x = 362.70 × 362.70
  4. Step 4: Simplify right side
    168.07x = 131,547.89
  5. Step 5: Solve for x
    x = 131,547.89/168.07
  6. Step 6: Final answer
    x = 782.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.