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Finding the Third Proportional to 178,262 and 278,330

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Solution

The third proportional to 178,262 and 278,330 is: 434,571.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,262 : 278,330 = 278,330 : x
  2. Step 2: Convert to fraction form
    178,262/278,330 = 278,330/x
  3. Step 3: Cross multiply
    178,262x = 278,330 × 278,330
  4. Step 4: Simplify right side
    178,262x = 77,467,588,900
  5. Step 5: Solve for x
    x = 77,467,588,900/178,262
  6. Step 6: Final answer
    x = 434,571.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.