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Finding the Third Proportional to 184,263 and 401,877.75

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Solution

The third proportional to 184,263 and 401,877.75 is: 876,495.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,263 : 401,877.75 = 401,877.75 : x
  2. Step 2: Convert to fraction form
    184,263/401,877.75 = 401,877.75/x
  3. Step 3: Cross multiply
    184,263x = 401,877.75 × 401,877.75
  4. Step 4: Simplify right side
    184,263x = 161,505,725,945.06
  5. Step 5: Solve for x
    x = 161,505,725,945.06/184,263
  6. Step 6: Final answer
    x = 876,495.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.