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Finding the Third Proportional to 198,026 and 402,940

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Solution

The third proportional to 198,026 and 402,940 is: 819,895.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,026 : 402,940 = 402,940 : x
  2. Step 2: Convert to fraction form
    198,026/402,940 = 402,940/x
  3. Step 3: Cross multiply
    198,026x = 402,940 × 402,940
  4. Step 4: Simplify right side
    198,026x = 162,360,643,600
  5. Step 5: Solve for x
    x = 162,360,643,600/198,026
  6. Step 6: Final answer
    x = 819,895.59

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.