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Finding the Third Proportional to 118,698 and 184,855

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Solution

The third proportional to 118,698 and 184,855 is: 287,884.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,698 : 184,855 = 184,855 : x
  2. Step 2: Convert to fraction form
    118,698/184,855 = 184,855/x
  3. Step 3: Cross multiply
    118,698x = 184,855 × 184,855
  4. Step 4: Simplify right side
    118,698x = 34,171,371,025
  5. Step 5: Solve for x
    x = 34,171,371,025/118,698
  6. Step 6: Final answer
    x = 287,884.98

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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.