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Finding the Third Proportional to 160,792 and 350,152

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Solution

The third proportional to 160,792 and 350,152 is: 762,515.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,792 : 350,152 = 350,152 : x
  2. Step 2: Convert to fraction form
    160,792/350,152 = 350,152/x
  3. Step 3: Cross multiply
    160,792x = 350,152 × 350,152
  4. Step 4: Simplify right side
    160,792x = 122,606,423,104
  5. Step 5: Solve for x
    x = 122,606,423,104/160,792
  6. Step 6: Final answer
    x = 762,515.69

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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.