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Finding the Third Proportional to 189,269.16 and 290,919.52

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Solution

The third proportional to 189,269.16 and 290,919.52 is: 447,163.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,269.16 : 290,919.52 = 290,919.52 : x
  2. Step 2: Convert to fraction form
    189,269.16/290,919.52 = 290,919.52/x
  3. Step 3: Cross multiply
    189,269.16x = 290,919.52 × 290,919.52
  4. Step 4: Simplify right side
    189,269.16x = 84,634,164,571.48
  5. Step 5: Solve for x
    x = 84,634,164,571.48/189,269.16
  6. Step 6: Final answer
    x = 447,163.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.