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Finding the Third Proportional to 161,746 and 233,191

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Solution

The third proportional to 161,746 and 233,191 is: 336,194.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,746 : 233,191 = 233,191 : x
  2. Step 2: Convert to fraction form
    161,746/233,191 = 233,191/x
  3. Step 3: Cross multiply
    161,746x = 233,191 × 233,191
  4. Step 4: Simplify right side
    161,746x = 54,378,042,481
  5. Step 5: Solve for x
    x = 54,378,042,481/161,746
  6. Step 6: Final answer
    x = 336,194.05

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.