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Finding the Third Proportional to 118,704 and 184,864

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Solution

The third proportional to 118,704 and 184,864 is: 287,898.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,704 : 184,864 = 184,864 : x
  2. Step 2: Convert to fraction form
    118,704/184,864 = 184,864/x
  3. Step 3: Cross multiply
    118,704x = 184,864 × 184,864
  4. Step 4: Simplify right side
    118,704x = 34,174,698,496
  5. Step 5: Solve for x
    x = 34,174,698,496/118,704
  6. Step 6: Final answer
    x = 287,898.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.