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Finding the Third Proportional to 169,018.50 and 253,002.75

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Solution

The third proportional to 169,018.50 and 253,002.75 is: 378,718.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,018.50 : 253,002.75 = 253,002.75 : x
  2. Step 2: Convert to fraction form
    169,018.50/253,002.75 = 253,002.75/x
  3. Step 3: Cross multiply
    169,018.50x = 253,002.75 × 253,002.75
  4. Step 4: Simplify right side
    169,018.50x = 64,010,391,507.56
  5. Step 5: Solve for x
    x = 64,010,391,507.56/169,018.50
  6. Step 6: Final answer
    x = 378,718.26

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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.