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Finding the Third Proportional to 198,519 and 307,630.50

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Solution

The third proportional to 198,519 and 307,630.50 is: 476,712.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,519 : 307,630.50 = 307,630.50 : x
  2. Step 2: Convert to fraction form
    198,519/307,630.50 = 307,630.50/x
  3. Step 3: Cross multiply
    198,519x = 307,630.50 × 307,630.50
  4. Step 4: Simplify right side
    198,519x = 94,636,524,530.25
  5. Step 5: Solve for x
    x = 94,636,524,530.25/198,519
  6. Step 6: Final answer
    x = 476,712.68

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.