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Finding the Third Proportional to 176,409 and 416,367

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Solution

The third proportional to 176,409 and 416,367 is: 982,724.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,409 : 416,367 = 416,367 : x
  2. Step 2: Convert to fraction form
    176,409/416,367 = 416,367/x
  3. Step 3: Cross multiply
    176,409x = 416,367 × 416,367
  4. Step 4: Simplify right side
    176,409x = 173,361,478,689
  5. Step 5: Solve for x
    x = 173,361,478,689/176,409
  6. Step 6: Final answer
    x = 982,724.68

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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.