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Finding the Third Proportional to 197,497 and 424,965.50

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Solution

The third proportional to 197,497 and 424,965.50 is: 914,422.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,497 : 424,965.50 = 424,965.50 : x
  2. Step 2: Convert to fraction form
    197,497/424,965.50 = 424,965.50/x
  3. Step 3: Cross multiply
    197,497x = 424,965.50 × 424,965.50
  4. Step 4: Simplify right side
    197,497x = 180,595,676,190.25
  5. Step 5: Solve for x
    x = 180,595,676,190.25/197,497
  6. Step 6: Final answer
    x = 914,422.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.