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Finding the Third Proportional to 198,672 and 433,038

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Solution

The third proportional to 198,672 and 433,038 is: 943,876.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,672 : 433,038 = 433,038 : x
  2. Step 2: Convert to fraction form
    198,672/433,038 = 433,038/x
  3. Step 3: Cross multiply
    198,672x = 433,038 × 433,038
  4. Step 4: Simplify right side
    198,672x = 187,521,909,444
  5. Step 5: Solve for x
    x = 187,521,909,444/198,672
  6. Step 6: Final answer
    x = 943,876.89

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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.