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Finding the Third Proportional to 163,683 and 352,267

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Solution

The third proportional to 163,683 and 352,267 is: 758,124.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,683 : 352,267 = 352,267 : x
  2. Step 2: Convert to fraction form
    163,683/352,267 = 352,267/x
  3. Step 3: Cross multiply
    163,683x = 352,267 × 352,267
  4. Step 4: Simplify right side
    163,683x = 124,092,039,289
  5. Step 5: Solve for x
    x = 124,092,039,289/163,683
  6. Step 6: Final answer
    x = 758,124.17

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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.