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Finding the Third Proportional to 162,452 and 243,678

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Solution

The third proportional to 162,452 and 243,678 is: 365,517

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,452 : 243,678 = 243,678 : x
  2. Step 2: Convert to fraction form
    162,452/243,678 = 243,678/x
  3. Step 3: Cross multiply
    162,452x = 243,678 × 243,678
  4. Step 4: Simplify right side
    162,452x = 59,378,967,684
  5. Step 5: Solve for x
    x = 59,378,967,684/162,452
  6. Step 6: Final answer
    x = 365,517

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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.