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Finding the Third Proportional to 184,518 and 235,779

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Solution

The third proportional to 184,518 and 235,779 is: 301,280.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,518 : 235,779 = 235,779 : x
  2. Step 2: Convert to fraction form
    184,518/235,779 = 235,779/x
  3. Step 3: Cross multiply
    184,518x = 235,779 × 235,779
  4. Step 4: Simplify right side
    184,518x = 55,591,736,841
  5. Step 5: Solve for x
    x = 55,591,736,841/184,518
  6. Step 6: Final answer
    x = 301,280.83

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.