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Finding the Third Proportional to 169,842 and 254,805

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Solution

The third proportional to 169,842 and 254,805 is: 382,270.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,842 : 254,805 = 254,805 : x
  2. Step 2: Convert to fraction form
    169,842/254,805 = 254,805/x
  3. Step 3: Cross multiply
    169,842x = 254,805 × 254,805
  4. Step 4: Simplify right side
    169,842x = 64,925,588,025
  5. Step 5: Solve for x
    x = 64,925,588,025/169,842
  6. Step 6: Final answer
    x = 382,270.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.