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Finding the Third Proportional to 173,122 and 273,898

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Solution

The third proportional to 173,122 and 273,898 is: 433,336.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,122 : 273,898 = 273,898 : x
  2. Step 2: Convert to fraction form
    173,122/273,898 = 273,898/x
  3. Step 3: Cross multiply
    173,122x = 273,898 × 273,898
  4. Step 4: Simplify right side
    173,122x = 75,020,114,404
  5. Step 5: Solve for x
    x = 75,020,114,404/173,122
  6. Step 6: Final answer
    x = 433,336.69

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.