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Finding the Third Proportional to 171,985.50 and 247,722

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Solution

The third proportional to 171,985.50 and 247,722 is: 356,810.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,985.50 : 247,722 = 247,722 : x
  2. Step 2: Convert to fraction form
    171,985.50/247,722 = 247,722/x
  3. Step 3: Cross multiply
    171,985.50x = 247,722 × 247,722
  4. Step 4: Simplify right side
    171,985.50x = 61,366,189,284
  5. Step 5: Solve for x
    x = 61,366,189,284/171,985.50
  6. Step 6: Final answer
    x = 356,810.25

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.