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Finding the Third Proportional to 163,896 and 354,036

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Solution

The third proportional to 163,896 and 354,036 is: 764,762.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,896 : 354,036 = 354,036 : x
  2. Step 2: Convert to fraction form
    163,896/354,036 = 354,036/x
  3. Step 3: Cross multiply
    163,896x = 354,036 × 354,036
  4. Step 4: Simplify right side
    163,896x = 125,341,489,296
  5. Step 5: Solve for x
    x = 125,341,489,296/163,896
  6. Step 6: Final answer
    x = 764,762.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.