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Finding the Third Proportional to 160,706 and 336,100

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Solution

The third proportional to 160,706 and 336,100 is: 702,918.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,706 : 336,100 = 336,100 : x
  2. Step 2: Convert to fraction form
    160,706/336,100 = 336,100/x
  3. Step 3: Cross multiply
    160,706x = 336,100 × 336,100
  4. Step 4: Simplify right side
    160,706x = 112,963,210,000
  5. Step 5: Solve for x
    x = 112,963,210,000/160,706
  6. Step 6: Final answer
    x = 702,918.43

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.