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Finding the Third Proportional to 156,741 and 354,754

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Solution

The third proportional to 156,741 and 354,754 is: 802,919.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,741 : 354,754 = 354,754 : x
  2. Step 2: Convert to fraction form
    156,741/354,754 = 354,754/x
  3. Step 3: Cross multiply
    156,741x = 354,754 × 354,754
  4. Step 4: Simplify right side
    156,741x = 125,850,400,516
  5. Step 5: Solve for x
    x = 125,850,400,516/156,741
  6. Step 6: Final answer
    x = 802,919.47

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.