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Finding the Third Proportional to 160,144 and 370,694

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Solution

The third proportional to 160,144 and 370,694 is: 858,065.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,144 : 370,694 = 370,694 : x
  2. Step 2: Convert to fraction form
    160,144/370,694 = 370,694/x
  3. Step 3: Cross multiply
    160,144x = 370,694 × 370,694
  4. Step 4: Simplify right side
    160,144x = 137,414,041,636
  5. Step 5: Solve for x
    x = 137,414,041,636/160,144
  6. Step 6: Final answer
    x = 858,065.50

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.