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Finding the Third Proportional to 176,326.50 and 416,173.50

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Solution

The third proportional to 176,326.50 and 416,173.50 is: 982,270.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,326.50 : 416,173.50 = 416,173.50 : x
  2. Step 2: Convert to fraction form
    176,326.50/416,173.50 = 416,173.50/x
  3. Step 3: Cross multiply
    176,326.50x = 416,173.50 × 416,173.50
  4. Step 4: Simplify right side
    176,326.50x = 173,200,382,102.25
  5. Step 5: Solve for x
    x = 173,200,382,102.25/176,326.50
  6. Step 6: Final answer
    x = 982,270.86

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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.