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Finding the Third Proportional to 163,677 and 352,383

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Solution

The third proportional to 163,677 and 352,383 is: 758,651.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,677 : 352,383 = 352,383 : x
  2. Step 2: Convert to fraction form
    163,677/352,383 = 352,383/x
  3. Step 3: Cross multiply
    163,677x = 352,383 × 352,383
  4. Step 4: Simplify right side
    163,677x = 124,173,778,689
  5. Step 5: Solve for x
    x = 124,173,778,689/163,677
  6. Step 6: Final answer
    x = 758,651.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.