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Finding the Third Proportional to 184,224.38 and 292,941.56

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Solution

The third proportional to 184,224.38 and 292,941.56 is: 465,816.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,224.38 : 292,941.56 = 292,941.56 : x
  2. Step 2: Convert to fraction form
    184,224.38/292,941.56 = 292,941.56/x
  3. Step 3: Cross multiply
    184,224.38x = 292,941.56 × 292,941.56
  4. Step 4: Simplify right side
    184,224.38x = 85,814,759,039.94
  5. Step 5: Solve for x
    x = 85,814,759,039.94/184,224.38
  6. Step 6: Final answer
    x = 465,816.53

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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.