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Finding the Third Proportional to 75,224 and 178,220

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Solution

The third proportional to 75,224 and 178,220 is: 422,237.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,224 : 178,220 = 178,220 : x
  2. Step 2: Convert to fraction form
    75,224/178,220 = 178,220/x
  3. Step 3: Cross multiply
    75,224x = 178,220 × 178,220
  4. Step 4: Simplify right side
    75,224x = 31,762,368,400
  5. Step 5: Solve for x
    x = 31,762,368,400/75,224
  6. Step 6: Final answer
    x = 422,237.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.