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Finding the Third Proportional to 196,968 and 433,300

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Solution

The third proportional to 196,968 and 433,300 is: 953,194.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,968 : 433,300 = 433,300 : x
  2. Step 2: Convert to fraction form
    196,968/433,300 = 433,300/x
  3. Step 3: Cross multiply
    196,968x = 433,300 × 433,300
  4. Step 4: Simplify right side
    196,968x = 187,748,890,000
  5. Step 5: Solve for x
    x = 187,748,890,000/196,968
  6. Step 6: Final answer
    x = 953,194.88

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