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Finding the Third Proportional to 155,228 and 234,057

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Solution

The third proportional to 155,228 and 234,057 is: 352,917.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,228 : 234,057 = 234,057 : x
  2. Step 2: Convert to fraction form
    155,228/234,057 = 234,057/x
  3. Step 3: Cross multiply
    155,228x = 234,057 × 234,057
  4. Step 4: Simplify right side
    155,228x = 54,782,679,249
  5. Step 5: Solve for x
    x = 54,782,679,249/155,228
  6. Step 6: Final answer
    x = 352,917.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.