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Finding the Third Proportional to 160,717.50 and 258,086.25

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Solution

The third proportional to 160,717.50 and 258,086.25 is: 414,444.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,717.50 : 258,086.25 = 258,086.25 : x
  2. Step 2: Convert to fraction form
    160,717.50/258,086.25 = 258,086.25/x
  3. Step 3: Cross multiply
    160,717.50x = 258,086.25 × 258,086.25
  4. Step 4: Simplify right side
    160,717.50x = 66,608,512,439.06
  5. Step 5: Solve for x
    x = 66,608,512,439.06/160,717.50
  6. Step 6: Final answer
    x = 414,444.68

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.