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Finding the Third Proportional to 160,091 and 231,870

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Solution

The third proportional to 160,091 and 231,870 is: 335,832.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,091 : 231,870 = 231,870 : x
  2. Step 2: Convert to fraction form
    160,091/231,870 = 231,870/x
  3. Step 3: Cross multiply
    160,091x = 231,870 × 231,870
  4. Step 4: Simplify right side
    160,091x = 53,763,696,900
  5. Step 5: Solve for x
    x = 53,763,696,900/160,091
  6. Step 6: Final answer
    x = 335,832.10

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.