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Finding the Third Proportional to 173,858 and 277,621

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Solution

The third proportional to 173,858 and 277,621 is: 443,312.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,858 : 277,621 = 277,621 : x
  2. Step 2: Convert to fraction form
    173,858/277,621 = 277,621/x
  3. Step 3: Cross multiply
    173,858x = 277,621 × 277,621
  4. Step 4: Simplify right side
    173,858x = 77,073,419,641
  5. Step 5: Solve for x
    x = 77,073,419,641/173,858
  6. Step 6: Final answer
    x = 443,312.47

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.