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Finding the Third Proportional to 174,546 and 261,819

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Solution

The third proportional to 174,546 and 261,819 is: 392,728.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,546 : 261,819 = 261,819 : x
  2. Step 2: Convert to fraction form
    174,546/261,819 = 261,819/x
  3. Step 3: Cross multiply
    174,546x = 261,819 × 261,819
  4. Step 4: Simplify right side
    174,546x = 68,549,188,761
  5. Step 5: Solve for x
    x = 68,549,188,761/174,546
  6. Step 6: Final answer
    x = 392,728.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.