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Finding the Third Proportional to 149,463 and 228,573

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Solution

The third proportional to 149,463 and 228,573 is: 349,555.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,463 : 228,573 = 228,573 : x
  2. Step 2: Convert to fraction form
    149,463/228,573 = 228,573/x
  3. Step 3: Cross multiply
    149,463x = 228,573 × 228,573
  4. Step 4: Simplify right side
    149,463x = 52,245,616,329
  5. Step 5: Solve for x
    x = 52,245,616,329/149,463
  6. Step 6: Final answer
    x = 349,555.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.