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Finding the Third Proportional to 156,780 and 344,774

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Solution

The third proportional to 156,780 and 344,774 is: 758,190.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,780 : 344,774 = 344,774 : x
  2. Step 2: Convert to fraction form
    156,780/344,774 = 344,774/x
  3. Step 3: Cross multiply
    156,780x = 344,774 × 344,774
  4. Step 4: Simplify right side
    156,780x = 118,869,111,076
  5. Step 5: Solve for x
    x = 118,869,111,076/156,780
  6. Step 6: Final answer
    x = 758,190.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.