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Finding the Third Proportional to 179,620 and 292,018

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Solution

The third proportional to 179,620 and 292,018 is: 474,749.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,620 : 292,018 = 292,018 : x
  2. Step 2: Convert to fraction form
    179,620/292,018 = 292,018/x
  3. Step 3: Cross multiply
    179,620x = 292,018 × 292,018
  4. Step 4: Simplify right side
    179,620x = 85,274,512,324
  5. Step 5: Solve for x
    x = 85,274,512,324/179,620
  6. Step 6: Final answer
    x = 474,749.54

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.