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Finding the Third Proportional to 160,992 and 353,088

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Solution

The third proportional to 160,992 and 353,088 is: 774,393.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,992 : 353,088 = 353,088 : x
  2. Step 2: Convert to fraction form
    160,992/353,088 = 353,088/x
  3. Step 3: Cross multiply
    160,992x = 353,088 × 353,088
  4. Step 4: Simplify right side
    160,992x = 124,671,135,744
  5. Step 5: Solve for x
    x = 124,671,135,744/160,992
  6. Step 6: Final answer
    x = 774,393.36

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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.