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Finding the Third Proportional to 271,768.50 and 449,167.50

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Solution

The third proportional to 271,768.50 and 449,167.50 is: 742,365.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,768.50 : 449,167.50 = 449,167.50 : x
  2. Step 2: Convert to fraction form
    271,768.50/449,167.50 = 449,167.50/x
  3. Step 3: Cross multiply
    271,768.50x = 449,167.50 × 449,167.50
  4. Step 4: Simplify right side
    271,768.50x = 201,751,443,056.25
  5. Step 5: Solve for x
    x = 201,751,443,056.25/271,768.50
  6. Step 6: Final answer
    x = 742,365.08

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.