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Finding the Third Proportional to 163,834 and 347,498

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Solution

The third proportional to 163,834 and 347,498 is: 737,056.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,834 : 347,498 = 347,498 : x
  2. Step 2: Convert to fraction form
    163,834/347,498 = 347,498/x
  3. Step 3: Cross multiply
    163,834x = 347,498 × 347,498
  4. Step 4: Simplify right side
    163,834x = 120,754,860,004
  5. Step 5: Solve for x
    x = 120,754,860,004/163,834
  6. Step 6: Final answer
    x = 737,056.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.