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Finding the Third Proportional to 68,407 and 150,300

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Solution

The third proportional to 68,407 and 150,300 is: 330,230.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,407 : 150,300 = 150,300 : x
  2. Step 2: Convert to fraction form
    68,407/150,300 = 150,300/x
  3. Step 3: Cross multiply
    68,407x = 150,300 × 150,300
  4. Step 4: Simplify right side
    68,407x = 22,590,090,000
  5. Step 5: Solve for x
    x = 22,590,090,000/68,407
  6. Step 6: Final answer
    x = 330,230.68

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.