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Finding the Third Proportional to 156,741 and 343,526

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Solution

The third proportional to 156,741 and 343,526 is: 752,898.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,741 : 343,526 = 343,526 : x
  2. Step 2: Convert to fraction form
    156,741/343,526 = 343,526/x
  3. Step 3: Cross multiply
    156,741x = 343,526 × 343,526
  4. Step 4: Simplify right side
    156,741x = 118,010,112,676
  5. Step 5: Solve for x
    x = 118,010,112,676/156,741
  6. Step 6: Final answer
    x = 752,898.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.