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Finding the Third Proportional to 174,968.25 and 271,443.75

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Solution

The third proportional to 174,968.25 and 271,443.75 is: 421,114.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,968.25 : 271,443.75 = 271,443.75 : x
  2. Step 2: Convert to fraction form
    174,968.25/271,443.75 = 271,443.75/x
  3. Step 3: Cross multiply
    174,968.25x = 271,443.75 × 271,443.75
  4. Step 4: Simplify right side
    174,968.25x = 73,681,709,414.06
  5. Step 5: Solve for x
    x = 73,681,709,414.06/174,968.25
  6. Step 6: Final answer
    x = 421,114.74

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Why These Related Problems?

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