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Finding the Third Proportional to 174,222 and 245,350

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Solution

The third proportional to 174,222 and 245,350 is: 345,516.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,222 : 245,350 = 245,350 : x
  2. Step 2: Convert to fraction form
    174,222/245,350 = 245,350/x
  3. Step 3: Cross multiply
    174,222x = 245,350 × 245,350
  4. Step 4: Simplify right side
    174,222x = 60,196,622,500
  5. Step 5: Solve for x
    x = 60,196,622,500/174,222
  6. Step 6: Final answer
    x = 345,516.77

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.