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Finding the Third Proportional to 168,460 and 360,260

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Solution

The third proportional to 168,460 and 360,260 is: 770,433.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,460 : 360,260 = 360,260 : x
  2. Step 2: Convert to fraction form
    168,460/360,260 = 360,260/x
  3. Step 3: Cross multiply
    168,460x = 360,260 × 360,260
  4. Step 4: Simplify right side
    168,460x = 129,787,267,600
  5. Step 5: Solve for x
    x = 129,787,267,600/168,460
  6. Step 6: Final answer
    x = 770,433.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.