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Finding the Third Proportional to 216,790.50 and 340,527.75

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Solution

The third proportional to 216,790.50 and 340,527.75 is: 534,890.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,790.50 : 340,527.75 = 340,527.75 : x
  2. Step 2: Convert to fraction form
    216,790.50/340,527.75 = 340,527.75/x
  3. Step 3: Cross multiply
    216,790.50x = 340,527.75 × 340,527.75
  4. Step 4: Simplify right side
    216,790.50x = 115,959,148,520.06
  5. Step 5: Solve for x
    x = 115,959,148,520.06/216,790.50
  6. Step 6: Final answer
    x = 534,890.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.