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Finding the Third Proportional to 163,948 and 260,694

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Solution

The third proportional to 163,948 and 260,694 is: 414,529.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,948 : 260,694 = 260,694 : x
  2. Step 2: Convert to fraction form
    163,948/260,694 = 260,694/x
  3. Step 3: Cross multiply
    163,948x = 260,694 × 260,694
  4. Step 4: Simplify right side
    163,948x = 67,961,361,636
  5. Step 5: Solve for x
    x = 67,961,361,636/163,948
  6. Step 6: Final answer
    x = 414,529.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.