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Finding the Third Proportional to 184,290 and 259,695

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Solution

The third proportional to 184,290 and 259,695 is: 365,953.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,290 : 259,695 = 259,695 : x
  2. Step 2: Convert to fraction form
    184,290/259,695 = 259,695/x
  3. Step 3: Cross multiply
    184,290x = 259,695 × 259,695
  4. Step 4: Simplify right side
    184,290x = 67,441,493,025
  5. Step 5: Solve for x
    x = 67,441,493,025/184,290
  6. Step 6: Final answer
    x = 365,953.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.