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Finding the Third Proportional to 84,261 and 180,024

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Solution

The third proportional to 84,261 and 180,024 is: 384,622.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,261 : 180,024 = 180,024 : x
  2. Step 2: Convert to fraction form
    84,261/180,024 = 180,024/x
  3. Step 3: Cross multiply
    84,261x = 180,024 × 180,024
  4. Step 4: Simplify right side
    84,261x = 32,408,640,576
  5. Step 5: Solve for x
    x = 32,408,640,576/84,261
  6. Step 6: Final answer
    x = 384,622.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.