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Finding the Third Proportional to 171,974.50 and 233,537

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Solution

The third proportional to 171,974.50 and 233,537 is: 317,137.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,974.50 : 233,537 = 233,537 : x
  2. Step 2: Convert to fraction form
    171,974.50/233,537 = 233,537/x
  3. Step 3: Cross multiply
    171,974.50x = 233,537 × 233,537
  4. Step 4: Simplify right side
    171,974.50x = 54,539,530,369
  5. Step 5: Solve for x
    x = 54,539,530,369/171,974.50
  6. Step 6: Final answer
    x = 317,137.31

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.