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Finding the Third Proportional to 184,934 and 294,006

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Solution

The third proportional to 184,934 and 294,006 is: 467,407.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,934 : 294,006 = 294,006 : x
  2. Step 2: Convert to fraction form
    184,934/294,006 = 294,006/x
  3. Step 3: Cross multiply
    184,934x = 294,006 × 294,006
  4. Step 4: Simplify right side
    184,934x = 86,439,528,036
  5. Step 5: Solve for x
    x = 86,439,528,036/184,934
  6. Step 6: Final answer
    x = 467,407.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.