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Finding the Third Proportional to 228,148 and 533,050

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Solution

The third proportional to 228,148 and 533,050 is: 1,245,429.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,148 : 533,050 = 533,050 : x
  2. Step 2: Convert to fraction form
    228,148/533,050 = 533,050/x
  3. Step 3: Cross multiply
    228,148x = 533,050 × 533,050
  4. Step 4: Simplify right side
    228,148x = 284,142,302,500
  5. Step 5: Solve for x
    x = 284,142,302,500/228,148
  6. Step 6: Final answer
    x = 1,245,429.73

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.