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Finding the Third Proportional to 198,628 and 302,531

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Solution

The third proportional to 198,628 and 302,531 is: 460,786.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,628 : 302,531 = 302,531 : x
  2. Step 2: Convert to fraction form
    198,628/302,531 = 302,531/x
  3. Step 3: Cross multiply
    198,628x = 302,531 × 302,531
  4. Step 4: Simplify right side
    198,628x = 91,525,005,961
  5. Step 5: Solve for x
    x = 91,525,005,961/198,628
  6. Step 6: Final answer
    x = 460,786.02

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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.