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Finding the Third Proportional to 100,898 and 158,297

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Solution

The third proportional to 100,898 and 158,297 is: 248,349.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,898 : 158,297 = 158,297 : x
  2. Step 2: Convert to fraction form
    100,898/158,297 = 158,297/x
  3. Step 3: Cross multiply
    100,898x = 158,297 × 158,297
  4. Step 4: Simplify right side
    100,898x = 25,057,940,209
  5. Step 5: Solve for x
    x = 25,057,940,209/100,898
  6. Step 6: Final answer
    x = 248,349.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.