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Finding the Third Proportional to 160,234 and 370,930

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Solution

The third proportional to 160,234 and 370,930 is: 858,675.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,234 : 370,930 = 370,930 : x
  2. Step 2: Convert to fraction form
    160,234/370,930 = 370,930/x
  3. Step 3: Cross multiply
    160,234x = 370,930 × 370,930
  4. Step 4: Simplify right side
    160,234x = 137,589,064,900
  5. Step 5: Solve for x
    x = 137,589,064,900/160,234
  6. Step 6: Final answer
    x = 858,675.84

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.