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Finding the Third Proportional to 161,748 and 233,194

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Solution

The third proportional to 161,748 and 233,194 is: 336,198.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,748 : 233,194 = 233,194 : x
  2. Step 2: Convert to fraction form
    161,748/233,194 = 233,194/x
  3. Step 3: Cross multiply
    161,748x = 233,194 × 233,194
  4. Step 4: Simplify right side
    161,748x = 54,379,441,636
  5. Step 5: Solve for x
    x = 54,379,441,636/161,748
  6. Step 6: Final answer
    x = 336,198.54

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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.