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Finding the Third Proportional to 163,107 and 330,824.25

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Solution

The third proportional to 163,107 and 330,824.25 is: 670,999.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,107 : 330,824.25 = 330,824.25 : x
  2. Step 2: Convert to fraction form
    163,107/330,824.25 = 330,824.25/x
  3. Step 3: Cross multiply
    163,107x = 330,824.25 × 330,824.25
  4. Step 4: Simplify right side
    163,107x = 109,444,684,388.06
  5. Step 5: Solve for x
    x = 109,444,684,388.06/163,107
  6. Step 6: Final answer
    x = 670,999.31

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.