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Finding the Third Proportional to 160,300 and 342,836

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Solution

The third proportional to 160,300 and 342,836 is: 733,228.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,300 : 342,836 = 342,836 : x
  2. Step 2: Convert to fraction form
    160,300/342,836 = 342,836/x
  3. Step 3: Cross multiply
    160,300x = 342,836 × 342,836
  4. Step 4: Simplify right side
    160,300x = 117,536,522,896
  5. Step 5: Solve for x
    x = 117,536,522,896/160,300
  6. Step 6: Final answer
    x = 733,228.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.