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Finding the Third Proportional to 252,229.50 and 368,650.50

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Solution

The third proportional to 252,229.50 and 368,650.50 is: 538,807.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,229.50 : 368,650.50 = 368,650.50 : x
  2. Step 2: Convert to fraction form
    252,229.50/368,650.50 = 368,650.50/x
  3. Step 3: Cross multiply
    252,229.50x = 368,650.50 × 368,650.50
  4. Step 4: Simplify right side
    252,229.50x = 135,903,191,150.25
  5. Step 5: Solve for x
    x = 135,903,191,150.25/252,229.50
  6. Step 6: Final answer
    x = 538,807.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.