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Finding the Third Proportional to 229,784.50 and 344,919.75

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Solution

The third proportional to 229,784.50 and 344,919.75 is: 517,744.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,784.50 : 344,919.75 = 344,919.75 : x
  2. Step 2: Convert to fraction form
    229,784.50/344,919.75 = 344,919.75/x
  3. Step 3: Cross multiply
    229,784.50x = 344,919.75 × 344,919.75
  4. Step 4: Simplify right side
    229,784.50x = 118,969,633,940.06
  5. Step 5: Solve for x
    x = 118,969,633,940.06/229,784.50
  6. Step 6: Final answer
    x = 517,744.38

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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.