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Finding the Third Proportional to 176,425 and 416,411

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Solution

The third proportional to 176,425 and 416,411 is: 982,843.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,425 : 416,411 = 416,411 : x
  2. Step 2: Convert to fraction form
    176,425/416,411 = 416,411/x
  3. Step 3: Cross multiply
    176,425x = 416,411 × 416,411
  4. Step 4: Simplify right side
    176,425x = 173,398,120,921
  5. Step 5: Solve for x
    x = 173,398,120,921/176,425
  6. Step 6: Final answer
    x = 982,843.25

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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.