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Finding the Third Proportional to 184,216.78 and 292,936.50

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Solution

The third proportional to 184,216.78 and 292,936.50 is: 465,819.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,216.78 : 292,936.50 = 292,936.50 : x
  2. Step 2: Convert to fraction form
    184,216.78/292,936.50 = 292,936.50/x
  3. Step 3: Cross multiply
    184,216.78x = 292,936.50 × 292,936.50
  4. Step 4: Simplify right side
    184,216.78x = 85,811,793,032.25
  5. Step 5: Solve for x
    x = 85,811,793,032.25/184,216.78
  6. Step 6: Final answer
    x = 465,819.63

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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.