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Finding the Third Proportional to 168,698 and 359,254

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Solution

The third proportional to 168,698 and 359,254 is: 765,056.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,698 : 359,254 = 359,254 : x
  2. Step 2: Convert to fraction form
    168,698/359,254 = 359,254/x
  3. Step 3: Cross multiply
    168,698x = 359,254 × 359,254
  4. Step 4: Simplify right side
    168,698x = 129,063,436,516
  5. Step 5: Solve for x
    x = 129,063,436,516/168,698
  6. Step 6: Final answer
    x = 765,056.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.