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Finding the Third Proportional to 198,737 and 300,673.50

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Solution

The third proportional to 198,737 and 300,673.50 is: 454,895.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,737 : 300,673.50 = 300,673.50 : x
  2. Step 2: Convert to fraction form
    198,737/300,673.50 = 300,673.50/x
  3. Step 3: Cross multiply
    198,737x = 300,673.50 × 300,673.50
  4. Step 4: Simplify right side
    198,737x = 90,404,553,602.25
  5. Step 5: Solve for x
    x = 90,404,553,602.25/198,737
  6. Step 6: Final answer
    x = 454,895.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.