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Finding the Third Proportional to 156,954 and 348,778

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Solution

The third proportional to 156,954 and 348,778 is: 775,042.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,954 : 348,778 = 348,778 : x
  2. Step 2: Convert to fraction form
    156,954/348,778 = 348,778/x
  3. Step 3: Cross multiply
    156,954x = 348,778 × 348,778
  4. Step 4: Simplify right side
    156,954x = 121,646,093,284
  5. Step 5: Solve for x
    x = 121,646,093,284/156,954
  6. Step 6: Final answer
    x = 775,042.96

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.