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Finding the Third Proportional to 178,011 and 274,869

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Solution

The third proportional to 178,011 and 274,869 is: 424,428.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,011 : 274,869 = 274,869 : x
  2. Step 2: Convert to fraction form
    178,011/274,869 = 274,869/x
  3. Step 3: Cross multiply
    178,011x = 274,869 × 274,869
  4. Step 4: Simplify right side
    178,011x = 75,552,967,161
  5. Step 5: Solve for x
    x = 75,552,967,161/178,011
  6. Step 6: Final answer
    x = 424,428.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.