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Finding the Third Proportional to 196,620 and 296,541

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Solution

The third proportional to 196,620 and 296,541 is: 447,241.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,620 : 296,541 = 296,541 : x
  2. Step 2: Convert to fraction form
    196,620/296,541 = 296,541/x
  3. Step 3: Cross multiply
    196,620x = 296,541 × 296,541
  4. Step 4: Simplify right side
    196,620x = 87,936,564,681
  5. Step 5: Solve for x
    x = 87,936,564,681/196,620
  6. Step 6: Final answer
    x = 447,241.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.