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Finding the Third Proportional to 243,828 and 365,742

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Solution

The third proportional to 243,828 and 365,742 is: 548,613

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,828 : 365,742 = 365,742 : x
  2. Step 2: Convert to fraction form
    243,828/365,742 = 365,742/x
  3. Step 3: Cross multiply
    243,828x = 365,742 × 365,742
  4. Step 4: Simplify right side
    243,828x = 133,767,210,564
  5. Step 5: Solve for x
    x = 133,767,210,564/243,828
  6. Step 6: Final answer
    x = 548,613

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.