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Finding the Third Proportional to 147,612 and 234,996

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Solution

The third proportional to 147,612 and 234,996 is: 374,109.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,612 : 234,996 = 234,996 : x
  2. Step 2: Convert to fraction form
    147,612/234,996 = 234,996/x
  3. Step 3: Cross multiply
    147,612x = 234,996 × 234,996
  4. Step 4: Simplify right side
    147,612x = 55,223,120,016
  5. Step 5: Solve for x
    x = 55,223,120,016/147,612
  6. Step 6: Final answer
    x = 374,109.96

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.