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Finding the Third Proportional to 216,586.69 and 336,661.03

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Solution

The third proportional to 216,586.69 and 336,661.03 is: 523,303.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,586.69 : 336,661.03 = 336,661.03 : x
  2. Step 2: Convert to fraction form
    216,586.69/336,661.03 = 336,661.03/x
  3. Step 3: Cross multiply
    216,586.69x = 336,661.03 × 336,661.03
  4. Step 4: Simplify right side
    216,586.69x = 113,340,649,962.31
  5. Step 5: Solve for x
    x = 113,340,649,962.31/216,586.69
  6. Step 6: Final answer
    x = 523,303.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.