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Finding the Third Proportional to 150,098 and 228,244

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Solution

The third proportional to 150,098 and 228,244 is: 347,075.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,098 : 228,244 = 228,244 : x
  2. Step 2: Convert to fraction form
    150,098/228,244 = 228,244/x
  3. Step 3: Cross multiply
    150,098x = 228,244 × 228,244
  4. Step 4: Simplify right side
    150,098x = 52,095,323,536
  5. Step 5: Solve for x
    x = 52,095,323,536/150,098
  6. Step 6: Final answer
    x = 347,075.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.