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Finding the Third Proportional to 173,863 and 380,946

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Solution

The third proportional to 173,863 and 380,946 is: 834,679.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,863 : 380,946 = 380,946 : x
  2. Step 2: Convert to fraction form
    173,863/380,946 = 380,946/x
  3. Step 3: Cross multiply
    173,863x = 380,946 × 380,946
  4. Step 4: Simplify right side
    173,863x = 145,119,854,916
  5. Step 5: Solve for x
    x = 145,119,854,916/173,863
  6. Step 6: Final answer
    x = 834,679.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.