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Finding the Third Proportional to 160,980 and 244,146

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Solution

The third proportional to 160,980 and 244,146 is: 370,277.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,980 : 244,146 = 244,146 : x
  2. Step 2: Convert to fraction form
    160,980/244,146 = 244,146/x
  3. Step 3: Cross multiply
    160,980x = 244,146 × 244,146
  4. Step 4: Simplify right side
    160,980x = 59,607,269,316
  5. Step 5: Solve for x
    x = 59,607,269,316/160,980
  6. Step 6: Final answer
    x = 370,277.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.