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Finding the Third Proportional to 178,858.13 and 383,627.25

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Solution

The third proportional to 178,858.13 and 383,627.25 is: 822,830.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,858.13 : 383,627.25 = 383,627.25 : x
  2. Step 2: Convert to fraction form
    178,858.13/383,627.25 = 383,627.25/x
  3. Step 3: Cross multiply
    178,858.13x = 383,627.25 × 383,627.25
  4. Step 4: Simplify right side
    178,858.13x = 147,169,866,942.56
  5. Step 5: Solve for x
    x = 147,169,866,942.56/178,858.13
  6. Step 6: Final answer
    x = 822,830.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.