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Finding the Third Proportional to 176,328 and 416,174

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Solution

The third proportional to 176,328 and 416,174 is: 982,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,328 : 416,174 = 416,174 : x
  2. Step 2: Convert to fraction form
    176,328/416,174 = 416,174/x
  3. Step 3: Cross multiply
    176,328x = 416,174 × 416,174
  4. Step 4: Simplify right side
    176,328x = 173,200,798,276
  5. Step 5: Solve for x
    x = 173,200,798,276/176,328
  6. Step 6: Final answer
    x = 982,264.86

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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.