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Finding the Third Proportional to 147,604.50 and 234,982.13

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Solution

The third proportional to 147,604.50 and 234,982.13 is: 374,084.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,604.50 : 234,982.13 = 234,982.13 : x
  2. Step 2: Convert to fraction form
    147,604.50/234,982.13 = 234,982.13/x
  3. Step 3: Cross multiply
    147,604.50x = 234,982.13 × 234,982.13
  4. Step 4: Simplify right side
    147,604.50x = 55,216,599,069.52
  5. Step 5: Solve for x
    x = 55,216,599,069.52/147,604.50
  6. Step 6: Final answer
    x = 374,084.79

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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.