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Finding the Third Proportional to 178,792.69 and 270,011.63

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Solution

The third proportional to 178,792.69 and 270,011.63 is: 407,769.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,792.69 : 270,011.63 = 270,011.63 : x
  2. Step 2: Convert to fraction form
    178,792.69/270,011.63 = 270,011.63/x
  3. Step 3: Cross multiply
    178,792.69x = 270,011.63 × 270,011.63
  4. Step 4: Simplify right side
    178,792.69x = 72,906,277,635.14
  5. Step 5: Solve for x
    x = 72,906,277,635.14/178,792.69
  6. Step 6: Final answer
    x = 407,769.91

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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.