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Finding the Third Proportional to 216,004.50 and 296,635.50

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Solution

The third proportional to 216,004.50 and 296,635.50 is: 407,364.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,004.50 : 296,635.50 = 296,635.50 : x
  2. Step 2: Convert to fraction form
    216,004.50/296,635.50 = 296,635.50/x
  3. Step 3: Cross multiply
    216,004.50x = 296,635.50 × 296,635.50
  4. Step 4: Simplify right side
    216,004.50x = 87,992,619,860.25
  5. Step 5: Solve for x
    x = 87,992,619,860.25/216,004.50
  6. Step 6: Final answer
    x = 407,364.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.