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Finding the Third Proportional to 214,738 and 485,153.50

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Solution

The third proportional to 214,738 and 485,153.50 is: 1,096,098.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,738 : 485,153.50 = 485,153.50 : x
  2. Step 2: Convert to fraction form
    214,738/485,153.50 = 485,153.50/x
  3. Step 3: Cross multiply
    214,738x = 485,153.50 × 485,153.50
  4. Step 4: Simplify right side
    214,738x = 235,373,918,562.25
  5. Step 5: Solve for x
    x = 235,373,918,562.25/214,738
  6. Step 6: Final answer
    x = 1,096,098.12

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.