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Finding the Third Proportional to 144,346 and 226,752

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Solution

The third proportional to 144,346 and 226,752 is: 356,202.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,346 : 226,752 = 226,752 : x
  2. Step 2: Convert to fraction form
    144,346/226,752 = 226,752/x
  3. Step 3: Cross multiply
    144,346x = 226,752 × 226,752
  4. Step 4: Simplify right side
    144,346x = 51,416,469,504
  5. Step 5: Solve for x
    x = 51,416,469,504/144,346
  6. Step 6: Final answer
    x = 356,202.94

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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.