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Finding the Third Proportional to 184,218 and 292,935

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Solution

The third proportional to 184,218 and 292,935 is: 465,811.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,218 : 292,935 = 292,935 : x
  2. Step 2: Convert to fraction form
    184,218/292,935 = 292,935/x
  3. Step 3: Cross multiply
    184,218x = 292,935 × 292,935
  4. Step 4: Simplify right side
    184,218x = 85,810,914,225
  5. Step 5: Solve for x
    x = 85,810,914,225/184,218
  6. Step 6: Final answer
    x = 465,811.78

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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.