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Finding the Third Proportional to 169,215 and 253,858.75

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Solution

The third proportional to 169,215 and 253,858.75 is: 380,842.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,215 : 253,858.75 = 253,858.75 : x
  2. Step 2: Convert to fraction form
    169,215/253,858.75 = 253,858.75/x
  3. Step 3: Cross multiply
    169,215x = 253,858.75 × 253,858.75
  4. Step 4: Simplify right side
    169,215x = 64,444,264,951.56
  5. Step 5: Solve for x
    x = 64,444,264,951.56/169,215
  6. Step 6: Final answer
    x = 380,842.51

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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.