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Finding the Third Proportional to 174,411.75 and 369,576.75

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Solution

The third proportional to 174,411.75 and 369,576.75 is: 783,129.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,411.75 : 369,576.75 = 369,576.75 : x
  2. Step 2: Convert to fraction form
    174,411.75/369,576.75 = 369,576.75/x
  3. Step 3: Cross multiply
    174,411.75x = 369,576.75 × 369,576.75
  4. Step 4: Simplify right side
    174,411.75x = 136,586,974,140.56
  5. Step 5: Solve for x
    x = 136,586,974,140.56/174,411.75
  6. Step 6: Final answer
    x = 783,129.43

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.