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Finding the Third Proportional to 242,149.50 and 494,154

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Solution

The third proportional to 242,149.50 and 494,154 is: 1,008,419.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,149.50 : 494,154 = 494,154 : x
  2. Step 2: Convert to fraction form
    242,149.50/494,154 = 494,154/x
  3. Step 3: Cross multiply
    242,149.50x = 494,154 × 494,154
  4. Step 4: Simplify right side
    242,149.50x = 244,188,175,716
  5. Step 5: Solve for x
    x = 244,188,175,716/242,149.50
  6. Step 6: Final answer
    x = 1,008,419.08

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.