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Finding the Third Proportional to 163,766 and 347,217

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Solution

The third proportional to 163,766 and 347,217 is: 736,170.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,766 : 347,217 = 347,217 : x
  2. Step 2: Convert to fraction form
    163,766/347,217 = 347,217/x
  3. Step 3: Cross multiply
    163,766x = 347,217 × 347,217
  4. Step 4: Simplify right side
    163,766x = 120,559,645,089
  5. Step 5: Solve for x
    x = 120,559,645,089/163,766
  6. Step 6: Final answer
    x = 736,170.18

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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.