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Finding the Third Proportional to 179,149 and 386,270

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Solution

The third proportional to 179,149 and 386,270 is: 832,851.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,149 : 386,270 = 386,270 : x
  2. Step 2: Convert to fraction form
    179,149/386,270 = 386,270/x
  3. Step 3: Cross multiply
    179,149x = 386,270 × 386,270
  4. Step 4: Simplify right side
    179,149x = 149,204,512,900
  5. Step 5: Solve for x
    x = 149,204,512,900/179,149
  6. Step 6: Final answer
    x = 832,851.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.