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Finding the Third Proportional to 189,843.75 and 253,054.13

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Solution

The third proportional to 189,843.75 and 253,054.13 is: 337,311.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,843.75 : 253,054.13 = 253,054.13 : x
  2. Step 2: Convert to fraction form
    189,843.75/253,054.13 = 253,054.13/x
  3. Step 3: Cross multiply
    189,843.75x = 253,054.13 × 253,054.13
  4. Step 4: Simplify right side
    189,843.75x = 64,036,390,179.52
  5. Step 5: Solve for x
    x = 64,036,390,179.52/189,843.75
  6. Step 6: Final answer
    x = 337,311.03

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.