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Finding the Third Proportional to 178,604.50 and 242,564.75

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Solution

The third proportional to 178,604.50 and 242,564.75 is: 329,429.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,604.50 : 242,564.75 = 242,564.75 : x
  2. Step 2: Convert to fraction form
    178,604.50/242,564.75 = 242,564.75/x
  3. Step 3: Cross multiply
    178,604.50x = 242,564.75 × 242,564.75
  4. Step 4: Simplify right side
    178,604.50x = 58,837,657,942.56
  5. Step 5: Solve for x
    x = 58,837,657,942.56/178,604.50
  6. Step 6: Final answer
    x = 329,429.87

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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.