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Finding the Third Proportional to 198,676 and 433,046

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Solution

The third proportional to 198,676 and 433,046 is: 943,892.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,676 : 433,046 = 433,046 : x
  2. Step 2: Convert to fraction form
    198,676/433,046 = 433,046/x
  3. Step 3: Cross multiply
    198,676x = 433,046 × 433,046
  4. Step 4: Simplify right side
    198,676x = 187,528,838,116
  5. Step 5: Solve for x
    x = 187,528,838,116/198,676
  6. Step 6: Final answer
    x = 943,892.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.