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Finding the Third Proportional to 197,814 and 433,533

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Solution

The third proportional to 197,814 and 433,533 is: 950,139.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,814 : 433,533 = 433,533 : x
  2. Step 2: Convert to fraction form
    197,814/433,533 = 433,533/x
  3. Step 3: Cross multiply
    197,814x = 433,533 × 433,533
  4. Step 4: Simplify right side
    197,814x = 187,950,862,089
  5. Step 5: Solve for x
    x = 187,950,862,089/197,814
  6. Step 6: Final answer
    x = 950,139.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.