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Finding the Third Proportional to 163,812 and 350,394

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Solution

The third proportional to 163,812 and 350,394 is: 749,493.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,812 : 350,394 = 350,394 : x
  2. Step 2: Convert to fraction form
    163,812/350,394 = 350,394/x
  3. Step 3: Cross multiply
    163,812x = 350,394 × 350,394
  4. Step 4: Simplify right side
    163,812x = 122,775,955,236
  5. Step 5: Solve for x
    x = 122,775,955,236/163,812
  6. Step 6: Final answer
    x = 749,493.05

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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.