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Finding the Third Proportional to 198,243 and 302,008.50

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Solution

The third proportional to 198,243 and 302,008.50 is: 460,087.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,243 : 302,008.50 = 302,008.50 : x
  2. Step 2: Convert to fraction form
    198,243/302,008.50 = 302,008.50/x
  3. Step 3: Cross multiply
    198,243x = 302,008.50 × 302,008.50
  4. Step 4: Simplify right side
    198,243x = 91,209,134,072.25
  5. Step 5: Solve for x
    x = 91,209,134,072.25/198,243
  6. Step 6: Final answer
    x = 460,087.54

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.