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Finding the Third Proportional to 156,968 and 348,806

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Solution

The third proportional to 156,968 and 348,806 is: 775,098.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,968 : 348,806 = 348,806 : x
  2. Step 2: Convert to fraction form
    156,968/348,806 = 348,806/x
  3. Step 3: Cross multiply
    156,968x = 348,806 × 348,806
  4. Step 4: Simplify right side
    156,968x = 121,665,625,636
  5. Step 5: Solve for x
    x = 121,665,625,636/156,968
  6. Step 6: Final answer
    x = 775,098.27

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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.