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Finding the Third Proportional to 119,350 and 262,696

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Solution

The third proportional to 119,350 and 262,696 is: 578,208.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,350 : 262,696 = 262,696 : x
  2. Step 2: Convert to fraction form
    119,350/262,696 = 262,696/x
  3. Step 3: Cross multiply
    119,350x = 262,696 × 262,696
  4. Step 4: Simplify right side
    119,350x = 69,009,188,416
  5. Step 5: Solve for x
    x = 69,009,188,416/119,350
  6. Step 6: Final answer
    x = 578,208.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.