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Finding the Third Proportional to 156,741 and 369,946

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Solution

The third proportional to 156,741 and 369,946 is: 873,160.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,741 : 369,946 = 369,946 : x
  2. Step 2: Convert to fraction form
    156,741/369,946 = 369,946/x
  3. Step 3: Cross multiply
    156,741x = 369,946 × 369,946
  4. Step 4: Simplify right side
    156,741x = 136,860,042,916
  5. Step 5: Solve for x
    x = 136,860,042,916/156,741
  6. Step 6: Final answer
    x = 873,160.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.