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Finding the Third Proportional to 168,680 and 362,370

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Solution

The third proportional to 168,680 and 362,370 is: 778,468.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,680 : 362,370 = 362,370 : x
  2. Step 2: Convert to fraction form
    168,680/362,370 = 362,370/x
  3. Step 3: Cross multiply
    168,680x = 362,370 × 362,370
  4. Step 4: Simplify right side
    168,680x = 131,312,016,900
  5. Step 5: Solve for x
    x = 131,312,016,900/168,680
  6. Step 6: Final answer
    x = 778,468.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.