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Finding the Third Proportional to 168,084 and 361,654

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Solution

The third proportional to 168,084 and 361,654 is: 778,144.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,084 : 361,654 = 361,654 : x
  2. Step 2: Convert to fraction form
    168,084/361,654 = 361,654/x
  3. Step 3: Cross multiply
    168,084x = 361,654 × 361,654
  4. Step 4: Simplify right side
    168,084x = 130,793,615,716
  5. Step 5: Solve for x
    x = 130,793,615,716/168,084
  6. Step 6: Final answer
    x = 778,144.35

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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.