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Finding the Third Proportional to 164,322 and 234,819

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Solution

The third proportional to 164,322 and 234,819 is: 335,560.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,322 : 234,819 = 234,819 : x
  2. Step 2: Convert to fraction form
    164,322/234,819 = 234,819/x
  3. Step 3: Cross multiply
    164,322x = 234,819 × 234,819
  4. Step 4: Simplify right side
    164,322x = 55,139,962,761
  5. Step 5: Solve for x
    x = 55,139,962,761/164,322
  6. Step 6: Final answer
    x = 335,560.44

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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.