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Finding the Third Proportional to 173,096 and 261,516

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Solution

The third proportional to 173,096 and 261,516 is: 395,102.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,096 : 261,516 = 261,516 : x
  2. Step 2: Convert to fraction form
    173,096/261,516 = 261,516/x
  3. Step 3: Cross multiply
    173,096x = 261,516 × 261,516
  4. Step 4: Simplify right side
    173,096x = 68,390,618,256
  5. Step 5: Solve for x
    x = 68,390,618,256/173,096
  6. Step 6: Final answer
    x = 395,102.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.