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Finding the Third Proportional to 149,364 and 228,600

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Solution

The third proportional to 149,364 and 228,600 is: 349,869.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,364 : 228,600 = 228,600 : x
  2. Step 2: Convert to fraction form
    149,364/228,600 = 228,600/x
  3. Step 3: Cross multiply
    149,364x = 228,600 × 228,600
  4. Step 4: Simplify right side
    149,364x = 52,257,960,000
  5. Step 5: Solve for x
    x = 52,257,960,000/149,364
  6. Step 6: Final answer
    x = 349,869.85

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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.