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Finding the Third Proportional to 84,301.17 and 180,558.56

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Solution

The third proportional to 84,301.17 and 180,558.56 is: 386,725.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,301.17 : 180,558.56 = 180,558.56 : x
  2. Step 2: Convert to fraction form
    84,301.17/180,558.56 = 180,558.56/x
  3. Step 3: Cross multiply
    84,301.17x = 180,558.56 × 180,558.56
  4. Step 4: Simplify right side
    84,301.17x = 32,601,394,492.07
  5. Step 5: Solve for x
    x = 32,601,394,492.07/84,301.17
  6. Step 6: Final answer
    x = 386,725.28

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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.