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Finding the Third Proportional to 271,066.50 and 362,252.25

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Solution

The third proportional to 271,066.50 and 362,252.25 is: 484,112.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,066.50 : 362,252.25 = 362,252.25 : x
  2. Step 2: Convert to fraction form
    271,066.50/362,252.25 = 362,252.25/x
  3. Step 3: Cross multiply
    271,066.50x = 362,252.25 × 362,252.25
  4. Step 4: Simplify right side
    271,066.50x = 131,226,692,630.06
  5. Step 5: Solve for x
    x = 131,226,692,630.06/271,066.50
  6. Step 6: Final answer
    x = 484,112.54

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.