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Finding the Third Proportional to 184,812.89 and 376,323.47

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Solution

The third proportional to 184,812.89 and 376,323.47 is: 766,285.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,812.89 : 376,323.47 = 376,323.47 : x
  2. Step 2: Convert to fraction form
    184,812.89/376,323.47 = 376,323.47/x
  3. Step 3: Cross multiply
    184,812.89x = 376,323.47 × 376,323.47
  4. Step 4: Simplify right side
    184,812.89x = 141,619,353,132.03
  5. Step 5: Solve for x
    x = 141,619,353,132.03/184,812.89
  6. Step 6: Final answer
    x = 766,285.04

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.