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Finding the Third Proportional to 184,566 and 289,150.50

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Solution

The third proportional to 184,566 and 289,150.50 is: 452,997.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,566 : 289,150.50 = 289,150.50 : x
  2. Step 2: Convert to fraction form
    184,566/289,150.50 = 289,150.50/x
  3. Step 3: Cross multiply
    184,566x = 289,150.50 × 289,150.50
  4. Step 4: Simplify right side
    184,566x = 83,608,011,650.25
  5. Step 5: Solve for x
    x = 83,608,011,650.25/184,566
  6. Step 6: Final answer
    x = 452,997.91

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.