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Finding the Third Proportional to 184,043 and 397,082

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Solution

The third proportional to 184,043 and 397,082 is: 856,724.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,043 : 397,082 = 397,082 : x
  2. Step 2: Convert to fraction form
    184,043/397,082 = 397,082/x
  3. Step 3: Cross multiply
    184,043x = 397,082 × 397,082
  4. Step 4: Simplify right side
    184,043x = 157,674,114,724
  5. Step 5: Solve for x
    x = 157,674,114,724/184,043
  6. Step 6: Final answer
    x = 856,724.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.