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Finding the Third Proportional to 242,674 and 367,405

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Solution

The third proportional to 242,674 and 367,405 is: 556,245.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,674 : 367,405 = 367,405 : x
  2. Step 2: Convert to fraction form
    242,674/367,405 = 367,405/x
  3. Step 3: Cross multiply
    242,674x = 367,405 × 367,405
  4. Step 4: Simplify right side
    242,674x = 134,986,434,025
  5. Step 5: Solve for x
    x = 134,986,434,025/242,674
  6. Step 6: Final answer
    x = 556,245.97

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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.