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Finding the Third Proportional to 189,594 and 285,593.25

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Solution

The third proportional to 189,594 and 285,593.25 is: 430,200.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,594 : 285,593.25 = 285,593.25 : x
  2. Step 2: Convert to fraction form
    189,594/285,593.25 = 285,593.25/x
  3. Step 3: Cross multiply
    189,594x = 285,593.25 × 285,593.25
  4. Step 4: Simplify right side
    189,594x = 81,563,504,445.56
  5. Step 5: Solve for x
    x = 81,563,504,445.56/189,594
  6. Step 6: Final answer
    x = 430,200.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.