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Finding the Third Proportional to 78,058.75 and 184,207

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Solution

The third proportional to 78,058.75 and 184,207 is: 434,701.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,058.75 : 184,207 = 184,207 : x
  2. Step 2: Convert to fraction form
    78,058.75/184,207 = 184,207/x
  3. Step 3: Cross multiply
    78,058.75x = 184,207 × 184,207
  4. Step 4: Simplify right side
    78,058.75x = 33,932,218,849
  5. Step 5: Solve for x
    x = 33,932,218,849/78,058.75
  6. Step 6: Final answer
    x = 434,701.03

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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.