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Finding the Third Proportional to 150,106 and 228,252

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Solution

The third proportional to 150,106 and 228,252 is: 347,081.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,106 : 228,252 = 228,252 : x
  2. Step 2: Convert to fraction form
    150,106/228,252 = 228,252/x
  3. Step 3: Cross multiply
    150,106x = 228,252 × 228,252
  4. Step 4: Simplify right side
    150,106x = 52,098,975,504
  5. Step 5: Solve for x
    x = 52,098,975,504/150,106
  6. Step 6: Final answer
    x = 347,081.23

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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.