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Finding the Third Proportional to 176,769.50 and 384,276

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Solution

The third proportional to 176,769.50 and 384,276 is: 835,370.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,769.50 : 384,276 = 384,276 : x
  2. Step 2: Convert to fraction form
    176,769.50/384,276 = 384,276/x
  3. Step 3: Cross multiply
    176,769.50x = 384,276 × 384,276
  4. Step 4: Simplify right side
    176,769.50x = 147,668,044,176
  5. Step 5: Solve for x
    x = 147,668,044,176/176,769.50
  6. Step 6: Final answer
    x = 835,370.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.