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Finding the Third Proportional to 174,212 and 260,638

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Solution

The third proportional to 174,212 and 260,638 is: 389,939.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,212 : 260,638 = 260,638 : x
  2. Step 2: Convert to fraction form
    174,212/260,638 = 260,638/x
  3. Step 3: Cross multiply
    174,212x = 260,638 × 260,638
  4. Step 4: Simplify right side
    174,212x = 67,932,167,044
  5. Step 5: Solve for x
    x = 67,932,167,044/174,212
  6. Step 6: Final answer
    x = 389,939.65

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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.