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Finding the Third Proportional to 179,340 and 270,354

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Solution

The third proportional to 179,340 and 270,354 is: 407,557.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,340 : 270,354 = 270,354 : x
  2. Step 2: Convert to fraction form
    179,340/270,354 = 270,354/x
  3. Step 3: Cross multiply
    179,340x = 270,354 × 270,354
  4. Step 4: Simplify right side
    179,340x = 73,091,285,316
  5. Step 5: Solve for x
    x = 73,091,285,316/179,340
  6. Step 6: Final answer
    x = 407,557.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.