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Finding the Third Proportional to 113,366 and 184,811

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Solution

The third proportional to 113,366 and 184,811 is: 301,281.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,366 : 184,811 = 184,811 : x
  2. Step 2: Convert to fraction form
    113,366/184,811 = 184,811/x
  3. Step 3: Cross multiply
    113,366x = 184,811 × 184,811
  4. Step 4: Simplify right side
    113,366x = 34,155,105,721
  5. Step 5: Solve for x
    x = 34,155,105,721/113,366
  6. Step 6: Final answer
    x = 301,281.74

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.