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Finding the Third Proportional to 197,220 and 433,968

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Solution

The third proportional to 197,220 and 433,968 is: 954,914.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,220 : 433,968 = 433,968 : x
  2. Step 2: Convert to fraction form
    197,220/433,968 = 433,968/x
  3. Step 3: Cross multiply
    197,220x = 433,968 × 433,968
  4. Step 4: Simplify right side
    197,220x = 188,328,225,024
  5. Step 5: Solve for x
    x = 188,328,225,024/197,220
  6. Step 6: Final answer
    x = 954,914.44

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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.