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Finding the Third Proportional to 184,592 and 289,190

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Solution

The third proportional to 184,592 and 289,190 is: 453,057.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,592 : 289,190 = 289,190 : x
  2. Step 2: Convert to fraction form
    184,592/289,190 = 289,190/x
  3. Step 3: Cross multiply
    184,592x = 289,190 × 289,190
  4. Step 4: Simplify right side
    184,592x = 83,630,856,100
  5. Step 5: Solve for x
    x = 83,630,856,100/184,592
  6. Step 6: Final answer
    x = 453,057.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.