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Finding the Third Proportional to 176,331 and 416,182

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Solution

The third proportional to 176,331 and 416,182 is: 982,285.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,331 : 416,182 = 416,182 : x
  2. Step 2: Convert to fraction form
    176,331/416,182 = 416,182/x
  3. Step 3: Cross multiply
    176,331x = 416,182 × 416,182
  4. Step 4: Simplify right side
    176,331x = 173,207,457,124
  5. Step 5: Solve for x
    x = 173,207,457,124/176,331
  6. Step 6: Final answer
    x = 982,285.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.