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Finding the Third Proportional to 176,450 and 416,470

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Solution

The third proportional to 176,450 and 416,470 is: 982,982.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,450 : 416,470 = 416,470 : x
  2. Step 2: Convert to fraction form
    176,450/416,470 = 416,470/x
  3. Step 3: Cross multiply
    176,450x = 416,470 × 416,470
  4. Step 4: Simplify right side
    176,450x = 173,447,260,900
  5. Step 5: Solve for x
    x = 173,447,260,900/176,450
  6. Step 6: Final answer
    x = 982,982.49

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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.