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Finding the Third Proportional to 160,798 and 339,704

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Solution

The third proportional to 160,798 and 339,704 is: 717,663.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,798 : 339,704 = 339,704 : x
  2. Step 2: Convert to fraction form
    160,798/339,704 = 339,704/x
  3. Step 3: Cross multiply
    160,798x = 339,704 × 339,704
  4. Step 4: Simplify right side
    160,798x = 115,398,807,616
  5. Step 5: Solve for x
    x = 115,398,807,616/160,798
  6. Step 6: Final answer
    x = 717,663.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.