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Finding the Third Proportional to 216,082.69 and 235,458.14

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Solution

The third proportional to 216,082.69 and 235,458.14 is: 256,570.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,082.69 : 235,458.14 = 235,458.14 : x
  2. Step 2: Convert to fraction form
    216,082.69/235,458.14 = 235,458.14/x
  3. Step 3: Cross multiply
    216,082.69x = 235,458.14 × 235,458.14
  4. Step 4: Simplify right side
    216,082.69x = 55,440,535,986.58
  5. Step 5: Solve for x
    x = 55,440,535,986.58/216,082.69
  6. Step 6: Final answer
    x = 256,570.93

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Why These Related Problems?

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