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Finding the Third Proportional to 171,765.50 and 225,871

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Solution

The third proportional to 171,765.50 and 225,871 is: 297,019.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,765.50 : 225,871 = 225,871 : x
  2. Step 2: Convert to fraction form
    171,765.50/225,871 = 225,871/x
  3. Step 3: Cross multiply
    171,765.50x = 225,871 × 225,871
  4. Step 4: Simplify right side
    171,765.50x = 51,017,708,641
  5. Step 5: Solve for x
    x = 51,017,708,641/171,765.50
  6. Step 6: Final answer
    x = 297,019.53

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.