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Finding the Third Proportional to 197,214.75 and 433,795.50

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Solution

The third proportional to 197,214.75 and 433,795.50 is: 954,180.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,214.75 : 433,795.50 = 433,795.50 : x
  2. Step 2: Convert to fraction form
    197,214.75/433,795.50 = 433,795.50/x
  3. Step 3: Cross multiply
    197,214.75x = 433,795.50 × 433,795.50
  4. Step 4: Simplify right side
    197,214.75x = 188,178,535,820.25
  5. Step 5: Solve for x
    x = 188,178,535,820.25/197,214.75
  6. Step 6: Final answer
    x = 954,180.84

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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.