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Finding the Third Proportional to 156,749 and 342,658

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Solution

The third proportional to 156,749 and 342,658 is: 749,060.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,749 : 342,658 = 342,658 : x
  2. Step 2: Convert to fraction form
    156,749/342,658 = 342,658/x
  3. Step 3: Cross multiply
    156,749x = 342,658 × 342,658
  4. Step 4: Simplify right side
    156,749x = 117,414,504,964
  5. Step 5: Solve for x
    x = 117,414,504,964/156,749
  6. Step 6: Final answer
    x = 749,060.63

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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.