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Finding the Third Proportional to 179,849 and 270,237

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Solution

The third proportional to 179,849 and 270,237 is: 406,051.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,849 : 270,237 = 270,237 : x
  2. Step 2: Convert to fraction form
    179,849/270,237 = 270,237/x
  3. Step 3: Cross multiply
    179,849x = 270,237 × 270,237
  4. Step 4: Simplify right side
    179,849x = 73,028,036,169
  5. Step 5: Solve for x
    x = 73,028,036,169/179,849
  6. Step 6: Final answer
    x = 406,051.94

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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.