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Finding the Third Proportional to 178,264.88 and 388,515.75

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Solution

The third proportional to 178,264.88 and 388,515.75 is: 846,742.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,264.88 : 388,515.75 = 388,515.75 : x
  2. Step 2: Convert to fraction form
    178,264.88/388,515.75 = 388,515.75/x
  3. Step 3: Cross multiply
    178,264.88x = 388,515.75 × 388,515.75
  4. Step 4: Simplify right side
    178,264.88x = 150,944,487,998.06
  5. Step 5: Solve for x
    x = 150,944,487,998.06/178,264.88
  6. Step 6: Final answer
    x = 846,742.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.