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Finding the Third Proportional to 146,084 and 208,758

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Solution

The third proportional to 146,084 and 208,758 is: 298,320.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,084 : 208,758 = 208,758 : x
  2. Step 2: Convert to fraction form
    146,084/208,758 = 208,758/x
  3. Step 3: Cross multiply
    146,084x = 208,758 × 208,758
  4. Step 4: Simplify right side
    146,084x = 43,579,902,564
  5. Step 5: Solve for x
    x = 43,579,902,564/146,084
  6. Step 6: Final answer
    x = 298,320.85

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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.