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Finding the Third Proportional to 84,256 and 180,013

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Solution

The third proportional to 84,256 and 180,013 is: 384,597.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,256 : 180,013 = 180,013 : x
  2. Step 2: Convert to fraction form
    84,256/180,013 = 180,013/x
  3. Step 3: Cross multiply
    84,256x = 180,013 × 180,013
  4. Step 4: Simplify right side
    84,256x = 32,404,680,169
  5. Step 5: Solve for x
    x = 32,404,680,169/84,256
  6. Step 6: Final answer
    x = 384,597.89

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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.