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Finding the Third Proportional to 176,544 and 416,414

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Solution

The third proportional to 176,544 and 416,414 is: 982,194.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,544 : 416,414 = 416,414 : x
  2. Step 2: Convert to fraction form
    176,544/416,414 = 416,414/x
  3. Step 3: Cross multiply
    176,544x = 416,414 × 416,414
  4. Step 4: Simplify right side
    176,544x = 173,400,619,396
  5. Step 5: Solve for x
    x = 173,400,619,396/176,544
  6. Step 6: Final answer
    x = 982,194.92

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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.