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Finding the Third Proportional to 197,659.50 and 423,199.50

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Solution

The third proportional to 197,659.50 and 423,199.50 is: 906,092.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,659.50 : 423,199.50 = 423,199.50 : x
  2. Step 2: Convert to fraction form
    197,659.50/423,199.50 = 423,199.50/x
  3. Step 3: Cross multiply
    197,659.50x = 423,199.50 × 423,199.50
  4. Step 4: Simplify right side
    197,659.50x = 179,097,816,800.25
  5. Step 5: Solve for x
    x = 179,097,816,800.25/197,659.50
  6. Step 6: Final answer
    x = 906,092.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.