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Finding the Third Proportional to 149,454 and 228,519

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Solution

The third proportional to 149,454 and 228,519 is: 349,411.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,454 : 228,519 = 228,519 : x
  2. Step 2: Convert to fraction form
    149,454/228,519 = 228,519/x
  3. Step 3: Cross multiply
    149,454x = 228,519 × 228,519
  4. Step 4: Simplify right side
    149,454x = 52,220,933,361
  5. Step 5: Solve for x
    x = 52,220,933,361/149,454
  6. Step 6: Final answer
    x = 349,411.41

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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.