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Finding the Third Proportional to 184,563.50 and 402,477

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Solution

The third proportional to 184,563.50 and 402,477 is: 877,680.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,563.50 : 402,477 = 402,477 : x
  2. Step 2: Convert to fraction form
    184,563.50/402,477 = 402,477/x
  3. Step 3: Cross multiply
    184,563.50x = 402,477 × 402,477
  4. Step 4: Simplify right side
    184,563.50x = 161,987,735,529
  5. Step 5: Solve for x
    x = 161,987,735,529/184,563.50
  6. Step 6: Final answer
    x = 877,680.23

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.