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Finding the Third Proportional to 174,466 and 261,915

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Solution

The third proportional to 174,466 and 261,915 is: 393,196.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,466 : 261,915 = 261,915 : x
  2. Step 2: Convert to fraction form
    174,466/261,915 = 261,915/x
  3. Step 3: Cross multiply
    174,466x = 261,915 × 261,915
  4. Step 4: Simplify right side
    174,466x = 68,599,467,225
  5. Step 5: Solve for x
    x = 68,599,467,225/174,466
  6. Step 6: Final answer
    x = 393,196.77

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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.