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Finding the Third Proportional to 163,083 and 229,659

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Solution

The third proportional to 163,083 and 229,659 is: 323,413.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,083 : 229,659 = 229,659 : x
  2. Step 2: Convert to fraction form
    163,083/229,659 = 229,659/x
  3. Step 3: Cross multiply
    163,083x = 229,659 × 229,659
  4. Step 4: Simplify right side
    163,083x = 52,743,256,281
  5. Step 5: Solve for x
    x = 52,743,256,281/163,083
  6. Step 6: Final answer
    x = 323,413.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.