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Finding the Third Proportional to 156,741 and 334,623

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Solution

The third proportional to 156,741 and 334,623 is: 714,379.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,741 : 334,623 = 334,623 : x
  2. Step 2: Convert to fraction form
    156,741/334,623 = 334,623/x
  3. Step 3: Cross multiply
    156,741x = 334,623 × 334,623
  4. Step 4: Simplify right side
    156,741x = 111,972,552,129
  5. Step 5: Solve for x
    x = 111,972,552,129/156,741
  6. Step 6: Final answer
    x = 714,379.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.