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Finding the Third Proportional to 182,820 and 276,174

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Solution

The third proportional to 182,820 and 276,174 is: 417,197.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,820 : 276,174 = 276,174 : x
  2. Step 2: Convert to fraction form
    182,820/276,174 = 276,174/x
  3. Step 3: Cross multiply
    182,820x = 276,174 × 276,174
  4. Step 4: Simplify right side
    182,820x = 76,272,078,276
  5. Step 5: Solve for x
    x = 76,272,078,276/182,820
  6. Step 6: Final answer
    x = 417,197.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.