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Finding the Third Proportional to 156,942 and 348,754

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Solution

The third proportional to 156,942 and 348,754 is: 774,995.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,942 : 348,754 = 348,754 : x
  2. Step 2: Convert to fraction form
    156,942/348,754 = 348,754/x
  3. Step 3: Cross multiply
    156,942x = 348,754 × 348,754
  4. Step 4: Simplify right side
    156,942x = 121,629,352,516
  5. Step 5: Solve for x
    x = 121,629,352,516/156,942
  6. Step 6: Final answer
    x = 774,995.56

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.