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Finding the Third Proportional to 156,562 and 342,661

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Solution

The third proportional to 156,562 and 342,661 is: 749,968.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,562 : 342,661 = 342,661 : x
  2. Step 2: Convert to fraction form
    156,562/342,661 = 342,661/x
  3. Step 3: Cross multiply
    156,562x = 342,661 × 342,661
  4. Step 4: Simplify right side
    156,562x = 117,416,560,921
  5. Step 5: Solve for x
    x = 117,416,560,921/156,562
  6. Step 6: Final answer
    x = 749,968.45

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Why These Related Problems?

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