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Finding the Third Proportional to 117,976.50 and 254,800.69

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Solution

The third proportional to 117,976.50 and 254,800.69 is: 550,307.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,976.50 : 254,800.69 = 254,800.69 : x
  2. Step 2: Convert to fraction form
    117,976.50/254,800.69 = 254,800.69/x
  3. Step 3: Cross multiply
    117,976.50x = 254,800.69 × 254,800.69
  4. Step 4: Simplify right side
    117,976.50x = 64,923,390,350.47
  5. Step 5: Solve for x
    x = 64,923,390,350.47/117,976.50
  6. Step 6: Final answer
    x = 550,307.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.