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Finding the Third Proportional to 169,767 and 254,670.75

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Solution

The third proportional to 169,767 and 254,670.75 is: 382,036.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,767 : 254,670.75 = 254,670.75 : x
  2. Step 2: Convert to fraction form
    169,767/254,670.75 = 254,670.75/x
  3. Step 3: Cross multiply
    169,767x = 254,670.75 × 254,670.75
  4. Step 4: Simplify right side
    169,767x = 64,857,190,905.56
  5. Step 5: Solve for x
    x = 64,857,190,905.56/169,767
  6. Step 6: Final answer
    x = 382,036.50

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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.