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Finding the Third Proportional to 179,950.50 and 416,594.25

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Solution

The third proportional to 179,950.50 and 416,594.25 is: 964,436.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,950.50 : 416,594.25 = 416,594.25 : x
  2. Step 2: Convert to fraction form
    179,950.50/416,594.25 = 416,594.25/x
  3. Step 3: Cross multiply
    179,950.50x = 416,594.25 × 416,594.25
  4. Step 4: Simplify right side
    179,950.50x = 173,550,769,133.06
  5. Step 5: Solve for x
    x = 173,550,769,133.06/179,950.50
  6. Step 6: Final answer
    x = 964,436.16

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.