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Finding the Third Proportional to 178,620 and 242,583

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Solution

The third proportional to 178,620 and 242,583 is: 329,450.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,620 : 242,583 = 242,583 : x
  2. Step 2: Convert to fraction form
    178,620/242,583 = 242,583/x
  3. Step 3: Cross multiply
    178,620x = 242,583 × 242,583
  4. Step 4: Simplify right side
    178,620x = 58,846,511,889
  5. Step 5: Solve for x
    x = 58,846,511,889/178,620
  6. Step 6: Final answer
    x = 329,450.86

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.