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Finding the Third Proportional to 229,551.75 and 344,328.75

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Solution

The third proportional to 229,551.75 and 344,328.75 is: 516,494.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,551.75 : 344,328.75 = 344,328.75 : x
  2. Step 2: Convert to fraction form
    229,551.75/344,328.75 = 344,328.75/x
  3. Step 3: Cross multiply
    229,551.75x = 344,328.75 × 344,328.75
  4. Step 4: Simplify right side
    229,551.75x = 118,562,288,076.56
  5. Step 5: Solve for x
    x = 118,562,288,076.56/229,551.75
  6. Step 6: Final answer
    x = 516,494.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.