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Finding the Third Proportional to 180,011.25 and 416,736

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Solution

The third proportional to 180,011.25 and 416,736 is: 964,766.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,011.25 : 416,736 = 416,736 : x
  2. Step 2: Convert to fraction form
    180,011.25/416,736 = 416,736/x
  3. Step 3: Cross multiply
    180,011.25x = 416,736 × 416,736
  4. Step 4: Simplify right side
    180,011.25x = 173,668,893,696
  5. Step 5: Solve for x
    x = 173,668,893,696/180,011.25
  6. Step 6: Final answer
    x = 964,766.89

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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.