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Finding the Third Proportional to 165,260 and 340,304

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Solution

The third proportional to 165,260 and 340,304 is: 700,755.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,260 : 340,304 = 340,304 : x
  2. Step 2: Convert to fraction form
    165,260/340,304 = 340,304/x
  3. Step 3: Cross multiply
    165,260x = 340,304 × 340,304
  4. Step 4: Simplify right side
    165,260x = 115,806,812,416
  5. Step 5: Solve for x
    x = 115,806,812,416/165,260
  6. Step 6: Final answer
    x = 700,755.25

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.