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Finding the Third Proportional to 163,568 and 241,788

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Solution

The third proportional to 163,568 and 241,788 is: 357,413.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,568 : 241,788 = 241,788 : x
  2. Step 2: Convert to fraction form
    163,568/241,788 = 241,788/x
  3. Step 3: Cross multiply
    163,568x = 241,788 × 241,788
  4. Step 4: Simplify right side
    163,568x = 58,461,436,944
  5. Step 5: Solve for x
    x = 58,461,436,944/163,568
  6. Step 6: Final answer
    x = 357,413.66

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.