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Finding the Third Proportional to 184,176 and 276,946.50

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Solution

The third proportional to 184,176 and 276,946.50 is: 416,446.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,176 : 276,946.50 = 276,946.50 : x
  2. Step 2: Convert to fraction form
    184,176/276,946.50 = 276,946.50/x
  3. Step 3: Cross multiply
    184,176x = 276,946.50 × 276,946.50
  4. Step 4: Simplify right side
    184,176x = 76,699,363,862.25
  5. Step 5: Solve for x
    x = 76,699,363,862.25/184,176
  6. Step 6: Final answer
    x = 416,446.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.