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Finding the Third Proportional to 156,948 and 348,766

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Solution

The third proportional to 156,948 and 348,766 is: 775,019.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,948 : 348,766 = 348,766 : x
  2. Step 2: Convert to fraction form
    156,948/348,766 = 348,766/x
  3. Step 3: Cross multiply
    156,948x = 348,766 × 348,766
  4. Step 4: Simplify right side
    156,948x = 121,637,722,756
  5. Step 5: Solve for x
    x = 121,637,722,756/156,948
  6. Step 6: Final answer
    x = 775,019.26

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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.