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Finding the Third Proportional to 168,686 and 362,382

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Solution

The third proportional to 168,686 and 362,382 is: 778,492.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,686 : 362,382 = 362,382 : x
  2. Step 2: Convert to fraction form
    168,686/362,382 = 362,382/x
  3. Step 3: Cross multiply
    168,686x = 362,382 × 362,382
  4. Step 4: Simplify right side
    168,686x = 131,320,713,924
  5. Step 5: Solve for x
    x = 131,320,713,924/168,686
  6. Step 6: Final answer
    x = 778,492.07

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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.