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Finding the Third Proportional to 170,240 and 345,344

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Solution

The third proportional to 170,240 and 345,344 is: 700,554.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,240 : 345,344 = 345,344 : x
  2. Step 2: Convert to fraction form
    170,240/345,344 = 345,344/x
  3. Step 3: Cross multiply
    170,240x = 345,344 × 345,344
  4. Step 4: Simplify right side
    170,240x = 119,262,478,336
  5. Step 5: Solve for x
    x = 119,262,478,336/170,240
  6. Step 6: Final answer
    x = 700,554.97

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.