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Finding the Third Proportional to 119,174 and 246,596

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Solution

The third proportional to 119,174 and 246,596 is: 510,258.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,174 : 246,596 = 246,596 : x
  2. Step 2: Convert to fraction form
    119,174/246,596 = 246,596/x
  3. Step 3: Cross multiply
    119,174x = 246,596 × 246,596
  4. Step 4: Simplify right side
    119,174x = 60,809,587,216
  5. Step 5: Solve for x
    x = 60,809,587,216/119,174
  6. Step 6: Final answer
    x = 510,258.84

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.