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Finding the Third Proportional to 84,600 and 180,174

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Solution

The third proportional to 84,600 and 180,174 is: 383,719.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,600 : 180,174 = 180,174 : x
  2. Step 2: Convert to fraction form
    84,600/180,174 = 180,174/x
  3. Step 3: Cross multiply
    84,600x = 180,174 × 180,174
  4. Step 4: Simplify right side
    84,600x = 32,462,670,276
  5. Step 5: Solve for x
    x = 32,462,670,276/84,600
  6. Step 6: Final answer
    x = 383,719.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.