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Finding the Third Proportional to 197,801 and 435,939.50

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Solution

The third proportional to 197,801 and 435,939.50 is: 960,780.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,801 : 435,939.50 = 435,939.50 : x
  2. Step 2: Convert to fraction form
    197,801/435,939.50 = 435,939.50/x
  3. Step 3: Cross multiply
    197,801x = 435,939.50 × 435,939.50
  4. Step 4: Simplify right side
    197,801x = 190,043,247,660.25
  5. Step 5: Solve for x
    x = 190,043,247,660.25/197,801
  6. Step 6: Final answer
    x = 960,780.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.