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Finding the Third Proportional to 242,830 and 367,635

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Solution

The third proportional to 242,830 and 367,635 is: 556,584.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,830 : 367,635 = 367,635 : x
  2. Step 2: Convert to fraction form
    242,830/367,635 = 367,635/x
  3. Step 3: Cross multiply
    242,830x = 367,635 × 367,635
  4. Step 4: Simplify right side
    242,830x = 135,155,493,225
  5. Step 5: Solve for x
    x = 135,155,493,225/242,830
  6. Step 6: Final answer
    x = 556,584.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.