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Finding the Third Proportional to 78,158.25 and 184,316.25

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Solution

The third proportional to 78,158.25 and 184,316.25 is: 434,662.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,158.25 : 184,316.25 = 184,316.25 : x
  2. Step 2: Convert to fraction form
    78,158.25/184,316.25 = 184,316.25/x
  3. Step 3: Cross multiply
    78,158.25x = 184,316.25 × 184,316.25
  4. Step 4: Simplify right side
    78,158.25x = 33,972,480,014.06
  5. Step 5: Solve for x
    x = 33,972,480,014.06/78,158.25
  6. Step 6: Final answer
    x = 434,662.75

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.