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Finding the Third Proportional to 156,949 and 348,769

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Solution

The third proportional to 156,949 and 348,769 is: 775,027.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,949 : 348,769 = 348,769 : x
  2. Step 2: Convert to fraction form
    156,949/348,769 = 348,769/x
  3. Step 3: Cross multiply
    156,949x = 348,769 × 348,769
  4. Step 4: Simplify right side
    156,949x = 121,639,815,361
  5. Step 5: Solve for x
    x = 121,639,815,361/156,949
  6. Step 6: Final answer
    x = 775,027.65

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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.