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Finding the Third Proportional to 160,723 and 258,094

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Solution

The third proportional to 160,723 and 258,094 is: 414,455.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,723 : 258,094 = 258,094 : x
  2. Step 2: Convert to fraction form
    160,723/258,094 = 258,094/x
  3. Step 3: Cross multiply
    160,723x = 258,094 × 258,094
  4. Step 4: Simplify right side
    160,723x = 66,612,512,836
  5. Step 5: Solve for x
    x = 66,612,512,836/160,723
  6. Step 6: Final answer
    x = 414,455.38

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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.