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Finding the Third Proportional to 184,653 and 276,658.50

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Solution

The third proportional to 184,653 and 276,658.50 is: 414,506.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,653 : 276,658.50 = 276,658.50 : x
  2. Step 2: Convert to fraction form
    184,653/276,658.50 = 276,658.50/x
  3. Step 3: Cross multiply
    184,653x = 276,658.50 × 276,658.50
  4. Step 4: Simplify right side
    184,653x = 76,539,925,622.25
  5. Step 5: Solve for x
    x = 76,539,925,622.25/184,653
  6. Step 6: Final answer
    x = 414,506.81

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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.