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Finding the Third Proportional to 163,561 and 333,137

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Solution

The third proportional to 163,561 and 333,137 is: 678,525.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,561 : 333,137 = 333,137 : x
  2. Step 2: Convert to fraction form
    163,561/333,137 = 333,137/x
  3. Step 3: Cross multiply
    163,561x = 333,137 × 333,137
  4. Step 4: Simplify right side
    163,561x = 110,980,260,769
  5. Step 5: Solve for x
    x = 110,980,260,769/163,561
  6. Step 6: Final answer
    x = 678,525.20

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.