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Finding the Third Proportional to 160,723 and 350,019

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Solution

The third proportional to 160,723 and 350,019 is: 762,263.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,723 : 350,019 = 350,019 : x
  2. Step 2: Convert to fraction form
    160,723/350,019 = 350,019/x
  3. Step 3: Cross multiply
    160,723x = 350,019 × 350,019
  4. Step 4: Simplify right side
    160,723x = 122,513,300,361
  5. Step 5: Solve for x
    x = 122,513,300,361/160,723
  6. Step 6: Final answer
    x = 762,263.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.