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Finding the Third Proportional to 149,436 and 228,492

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Solution

The third proportional to 149,436 and 228,492 is: 349,370.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,436 : 228,492 = 228,492 : x
  2. Step 2: Convert to fraction form
    149,436/228,492 = 228,492/x
  3. Step 3: Cross multiply
    149,436x = 228,492 × 228,492
  4. Step 4: Simplify right side
    149,436x = 52,208,594,064
  5. Step 5: Solve for x
    x = 52,208,594,064/149,436
  6. Step 6: Final answer
    x = 349,370.93

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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.