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Finding the Third Proportional to 174,971.25 and 271,447.88

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Solution

The third proportional to 174,971.25 and 271,447.88 is: 421,120.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,971.25 : 271,447.88 = 271,447.88 : x
  2. Step 2: Convert to fraction form
    174,971.25/271,447.88 = 271,447.88/x
  3. Step 3: Cross multiply
    174,971.25x = 271,447.88 × 271,447.88
  4. Step 4: Simplify right side
    174,971.25x = 73,683,948,842.02
  5. Step 5: Solve for x
    x = 73,683,948,842.02/174,971.25
  6. Step 6: Final answer
    x = 421,120.32

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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.