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Finding the Third Proportional to 163,834 and 347,492

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Solution

The third proportional to 163,834 and 347,492 is: 737,030.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,834 : 347,492 = 347,492 : x
  2. Step 2: Convert to fraction form
    163,834/347,492 = 347,492/x
  3. Step 3: Cross multiply
    163,834x = 347,492 × 347,492
  4. Step 4: Simplify right side
    163,834x = 120,750,690,064
  5. Step 5: Solve for x
    x = 120,750,690,064/163,834
  6. Step 6: Final answer
    x = 737,030.71

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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.