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Finding the Third Proportional to 184,806 and 264,276

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Solution

The third proportional to 184,806 and 264,276 is: 377,919.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,806 : 264,276 = 264,276 : x
  2. Step 2: Convert to fraction form
    184,806/264,276 = 264,276/x
  3. Step 3: Cross multiply
    184,806x = 264,276 × 264,276
  4. Step 4: Simplify right side
    184,806x = 69,841,804,176
  5. Step 5: Solve for x
    x = 69,841,804,176/184,806
  6. Step 6: Final answer
    x = 377,919.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.