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Finding the Third Proportional to 149,464 and 228,536

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Solution

The third proportional to 149,464 and 228,536 is: 349,440.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,464 : 228,536 = 228,536 : x
  2. Step 2: Convert to fraction form
    149,464/228,536 = 228,536/x
  3. Step 3: Cross multiply
    149,464x = 228,536 × 228,536
  4. Step 4: Simplify right side
    149,464x = 52,228,703,296
  5. Step 5: Solve for x
    x = 52,228,703,296/149,464
  6. Step 6: Final answer
    x = 349,440.02

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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.