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Finding the Third Proportional to 78,157 and 184,377

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Solution

The third proportional to 78,157 and 184,377 is: 434,956.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,157 : 184,377 = 184,377 : x
  2. Step 2: Convert to fraction form
    78,157/184,377 = 184,377/x
  3. Step 3: Cross multiply
    78,157x = 184,377 × 184,377
  4. Step 4: Simplify right side
    78,157x = 33,994,878,129
  5. Step 5: Solve for x
    x = 33,994,878,129/78,157
  6. Step 6: Final answer
    x = 434,956.28

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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.