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Finding the Third Proportional to 197,583.75 and 216,051.75

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Solution

The third proportional to 197,583.75 and 216,051.75 is: 236,245.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,583.75 : 216,051.75 = 216,051.75 : x
  2. Step 2: Convert to fraction form
    197,583.75/216,051.75 = 216,051.75/x
  3. Step 3: Cross multiply
    197,583.75x = 216,051.75 × 216,051.75
  4. Step 4: Simplify right side
    197,583.75x = 46,678,358,678.06
  5. Step 5: Solve for x
    x = 46,678,358,678.06/197,583.75
  6. Step 6: Final answer
    x = 236,245.94

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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.