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Finding the Third Proportional to 189,798.75 and 291,040.03

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Solution

The third proportional to 189,798.75 and 291,040.03 is: 446,284.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,798.75 : 291,040.03 = 291,040.03 : x
  2. Step 2: Convert to fraction form
    189,798.75/291,040.03 = 291,040.03/x
  3. Step 3: Cross multiply
    189,798.75x = 291,040.03 × 291,040.03
  4. Step 4: Simplify right side
    189,798.75x = 84,704,299,790.00
  5. Step 5: Solve for x
    x = 84,704,299,790.00/189,798.75
  6. Step 6: Final answer
    x = 446,284.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.