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Finding the Third Proportional to 163,638 and 353,097

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Solution

The third proportional to 163,638 and 353,097 is: 761,910.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,638 : 353,097 = 353,097 : x
  2. Step 2: Convert to fraction form
    163,638/353,097 = 353,097/x
  3. Step 3: Cross multiply
    163,638x = 353,097 × 353,097
  4. Step 4: Simplify right side
    163,638x = 124,677,491,409
  5. Step 5: Solve for x
    x = 124,677,491,409/163,638
  6. Step 6: Final answer
    x = 761,910.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.