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Finding the Third Proportional to 168,332 and 362,096

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Solution

The third proportional to 168,332 and 362,096 is: 778,898.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,332 : 362,096 = 362,096 : x
  2. Step 2: Convert to fraction form
    168,332/362,096 = 362,096/x
  3. Step 3: Cross multiply
    168,332x = 362,096 × 362,096
  4. Step 4: Simplify right side
    168,332x = 131,113,513,216
  5. Step 5: Solve for x
    x = 131,113,513,216/168,332
  6. Step 6: Final answer
    x = 778,898.33

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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.