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Finding the Third Proportional to 89,440 and 184,550

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Solution

The third proportional to 89,440 and 184,550 is: 380,799.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,440 : 184,550 = 184,550 : x
  2. Step 2: Convert to fraction form
    89,440/184,550 = 184,550/x
  3. Step 3: Cross multiply
    89,440x = 184,550 × 184,550
  4. Step 4: Simplify right side
    89,440x = 34,058,702,500
  5. Step 5: Solve for x
    x = 34,058,702,500/89,440
  6. Step 6: Final answer
    x = 380,799.45

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.