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Finding the Third Proportional to 164,819 and 352,966

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Solution

The third proportional to 164,819 and 352,966 is: 755,889.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,819 : 352,966 = 352,966 : x
  2. Step 2: Convert to fraction form
    164,819/352,966 = 352,966/x
  3. Step 3: Cross multiply
    164,819x = 352,966 × 352,966
  4. Step 4: Simplify right side
    164,819x = 124,584,997,156
  5. Step 5: Solve for x
    x = 124,584,997,156/164,819
  6. Step 6: Final answer
    x = 755,889.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.