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Finding the Third Proportional to 168,701 and 359,260

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Solution

The third proportional to 168,701 and 359,260 is: 765,068.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,701 : 359,260 = 359,260 : x
  2. Step 2: Convert to fraction form
    168,701/359,260 = 359,260/x
  3. Step 3: Cross multiply
    168,701x = 359,260 × 359,260
  4. Step 4: Simplify right side
    168,701x = 129,067,747,600
  5. Step 5: Solve for x
    x = 129,067,747,600/168,701
  6. Step 6: Final answer
    x = 765,068.06

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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.