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Finding the Third Proportional to 198,072 and 420,687

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Solution

The third proportional to 198,072 and 420,687 is: 893,501.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,072 : 420,687 = 420,687 : x
  2. Step 2: Convert to fraction form
    198,072/420,687 = 420,687/x
  3. Step 3: Cross multiply
    198,072x = 420,687 × 420,687
  4. Step 4: Simplify right side
    198,072x = 176,977,551,969
  5. Step 5: Solve for x
    x = 176,977,551,969/198,072
  6. Step 6: Final answer
    x = 893,501.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.