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Finding the Third Proportional to 156,739 and 342,638

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Solution

The third proportional to 156,739 and 342,638 is: 749,020.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,739 : 342,638 = 342,638 : x
  2. Step 2: Convert to fraction form
    156,739/342,638 = 342,638/x
  3. Step 3: Cross multiply
    156,739x = 342,638 × 342,638
  4. Step 4: Simplify right side
    156,739x = 117,400,799,044
  5. Step 5: Solve for x
    x = 117,400,799,044/156,739
  6. Step 6: Final answer
    x = 749,020.98

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.