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Finding the Third Proportional to 189,545.06 and 284,406.75

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Solution

The third proportional to 189,545.06 and 284,406.75 is: 426,743.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,545.06 : 284,406.75 = 284,406.75 : x
  2. Step 2: Convert to fraction form
    189,545.06/284,406.75 = 284,406.75/x
  3. Step 3: Cross multiply
    189,545.06x = 284,406.75 × 284,406.75
  4. Step 4: Simplify right side
    189,545.06x = 80,887,199,445.56
  5. Step 5: Solve for x
    x = 80,887,199,445.56/189,545.06
  6. Step 6: Final answer
    x = 426,743.90

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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.