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Finding the Third Proportional to 168,305 and 362,854

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Solution

The third proportional to 168,305 and 362,854 is: 782,288.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,305 : 362,854 = 362,854 : x
  2. Step 2: Convert to fraction form
    168,305/362,854 = 362,854/x
  3. Step 3: Cross multiply
    168,305x = 362,854 × 362,854
  4. Step 4: Simplify right side
    168,305x = 131,663,025,316
  5. Step 5: Solve for x
    x = 131,663,025,316/168,305
  6. Step 6: Final answer
    x = 782,288.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.