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Finding the Third Proportional to 264,132 and 550,152

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Solution

The third proportional to 264,132 and 550,152 is: 1,145,893.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,132 : 550,152 = 550,152 : x
  2. Step 2: Convert to fraction form
    264,132/550,152 = 550,152/x
  3. Step 3: Cross multiply
    264,132x = 550,152 × 550,152
  4. Step 4: Simplify right side
    264,132x = 302,667,223,104
  5. Step 5: Solve for x
    x = 302,667,223,104/264,132
  6. Step 6: Final answer
    x = 1,145,893.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.