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Finding the Third Proportional to 74,224 and 155,742

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Solution

The third proportional to 74,224 and 155,742 is: 326,788.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,224 : 155,742 = 155,742 : x
  2. Step 2: Convert to fraction form
    74,224/155,742 = 155,742/x
  3. Step 3: Cross multiply
    74,224x = 155,742 × 155,742
  4. Step 4: Simplify right side
    74,224x = 24,255,570,564
  5. Step 5: Solve for x
    x = 24,255,570,564/74,224
  6. Step 6: Final answer
    x = 326,788.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.