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Finding the Third Proportional to 198,332 and 302,150

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Solution

The third proportional to 198,332 and 302,150 is: 460,312.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,332 : 302,150 = 302,150 : x
  2. Step 2: Convert to fraction form
    198,332/302,150 = 302,150/x
  3. Step 3: Cross multiply
    198,332x = 302,150 × 302,150
  4. Step 4: Simplify right side
    198,332x = 91,294,622,500
  5. Step 5: Solve for x
    x = 91,294,622,500/198,332
  6. Step 6: Final answer
    x = 460,312.12

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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.