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Finding the Third Proportional to 189,878 and 295,185

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Solution

The third proportional to 189,878 and 295,185 is: 458,895.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,878 : 295,185 = 295,185 : x
  2. Step 2: Convert to fraction form
    189,878/295,185 = 295,185/x
  3. Step 3: Cross multiply
    189,878x = 295,185 × 295,185
  4. Step 4: Simplify right side
    189,878x = 87,134,184,225
  5. Step 5: Solve for x
    x = 87,134,184,225/189,878
  6. Step 6: Final answer
    x = 458,895.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.