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Finding the Third Proportional to 184,761 and 264,829.50

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Solution

The third proportional to 184,761 and 264,829.50 is: 379,596.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,761 : 264,829.50 = 264,829.50 : x
  2. Step 2: Convert to fraction form
    184,761/264,829.50 = 264,829.50/x
  3. Step 3: Cross multiply
    184,761x = 264,829.50 × 264,829.50
  4. Step 4: Simplify right side
    184,761x = 70,134,664,070.25
  5. Step 5: Solve for x
    x = 70,134,664,070.25/184,761
  6. Step 6: Final answer
    x = 379,596.69

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.