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Finding the Third Proportional to 160,115 and 344,971

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Solution

The third proportional to 160,115 and 344,971 is: 743,246.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,115 : 344,971 = 344,971 : x
  2. Step 2: Convert to fraction form
    160,115/344,971 = 344,971/x
  3. Step 3: Cross multiply
    160,115x = 344,971 × 344,971
  4. Step 4: Simplify right side
    160,115x = 119,004,990,841
  5. Step 5: Solve for x
    x = 119,004,990,841/160,115
  6. Step 6: Final answer
    x = 743,246.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.