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Finding the Third Proportional to 176,449.50 and 416,472.75

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Solution

The third proportional to 176,449.50 and 416,472.75 is: 982,998.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,449.50 : 416,472.75 = 416,472.75 : x
  2. Step 2: Convert to fraction form
    176,449.50/416,472.75 = 416,472.75/x
  3. Step 3: Cross multiply
    176,449.50x = 416,472.75 × 416,472.75
  4. Step 4: Simplify right side
    176,449.50x = 173,449,551,492.56
  5. Step 5: Solve for x
    x = 173,449,551,492.56/176,449.50
  6. Step 6: Final answer
    x = 982,998.26

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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.