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Finding the Third Proportional to 146,068 and 208,734

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Solution

The third proportional to 146,068 and 208,734 is: 298,284.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,068 : 208,734 = 208,734 : x
  2. Step 2: Convert to fraction form
    146,068/208,734 = 208,734/x
  3. Step 3: Cross multiply
    146,068x = 208,734 × 208,734
  4. Step 4: Simplify right side
    146,068x = 43,569,882,756
  5. Step 5: Solve for x
    x = 43,569,882,756/146,068
  6. Step 6: Final answer
    x = 298,284.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.