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Finding the Third Proportional to 160,796 and 236,376.75

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Solution

The third proportional to 160,796 and 236,376.75 is: 347,483.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,796 : 236,376.75 = 236,376.75 : x
  2. Step 2: Convert to fraction form
    160,796/236,376.75 = 236,376.75/x
  3. Step 3: Cross multiply
    160,796x = 236,376.75 × 236,376.75
  4. Step 4: Simplify right side
    160,796x = 55,873,967,940.56
  5. Step 5: Solve for x
    x = 55,873,967,940.56/160,796
  6. Step 6: Final answer
    x = 347,483.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.