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Finding the Third Proportional to 163,563 and 333,141

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Solution

The third proportional to 163,563 and 333,141 is: 678,533.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,563 : 333,141 = 333,141 : x
  2. Step 2: Convert to fraction form
    163,563/333,141 = 333,141/x
  3. Step 3: Cross multiply
    163,563x = 333,141 × 333,141
  4. Step 4: Simplify right side
    163,563x = 110,982,925,881
  5. Step 5: Solve for x
    x = 110,982,925,881/163,563
  6. Step 6: Final answer
    x = 678,533.20

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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.