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Finding the Third Proportional to 76,350 and 167,406

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Solution

The third proportional to 76,350 and 167,406 is: 367,056.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,350 : 167,406 = 167,406 : x
  2. Step 2: Convert to fraction form
    76,350/167,406 = 167,406/x
  3. Step 3: Cross multiply
    76,350x = 167,406 × 167,406
  4. Step 4: Simplify right side
    76,350x = 28,024,768,836
  5. Step 5: Solve for x
    x = 28,024,768,836/76,350
  6. Step 6: Final answer
    x = 367,056.57

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.