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Finding the Third Proportional to 176,225.63 and 274,865.06

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Solution

The third proportional to 176,225.63 and 274,865.06 is: 428,716.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,225.63 : 274,865.06 = 274,865.06 : x
  2. Step 2: Convert to fraction form
    176,225.63/274,865.06 = 274,865.06/x
  3. Step 3: Cross multiply
    176,225.63x = 274,865.06 × 274,865.06
  4. Step 4: Simplify right side
    176,225.63x = 75,550,802,583.13
  5. Step 5: Solve for x
    x = 75,550,802,583.13/176,225.63
  6. Step 6: Final answer
    x = 428,716.33

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.