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Finding the Third Proportional to 174,970 and 271,447

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Solution

The third proportional to 174,970 and 271,447 is: 421,120.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,970 : 271,447 = 271,447 : x
  2. Step 2: Convert to fraction form
    174,970/271,447 = 271,447/x
  3. Step 3: Cross multiply
    174,970x = 271,447 × 271,447
  4. Step 4: Simplify right side
    174,970x = 73,683,473,809
  5. Step 5: Solve for x
    x = 73,683,473,809/174,970
  6. Step 6: Final answer
    x = 421,120.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.