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Finding the Third Proportional to 176,546 and 416,419

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Solution

The third proportional to 176,546 and 416,419 is: 982,207.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,546 : 416,419 = 416,419 : x
  2. Step 2: Convert to fraction form
    176,546/416,419 = 416,419/x
  3. Step 3: Cross multiply
    176,546x = 416,419 × 416,419
  4. Step 4: Simplify right side
    176,546x = 173,404,783,561
  5. Step 5: Solve for x
    x = 173,404,783,561/176,546
  6. Step 6: Final answer
    x = 982,207.38

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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.