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Finding the Third Proportional to 160,924 and 353,546

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Solution

The third proportional to 160,924 and 353,546 is: 776,731.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,924 : 353,546 = 353,546 : x
  2. Step 2: Convert to fraction form
    160,924/353,546 = 353,546/x
  3. Step 3: Cross multiply
    160,924x = 353,546 × 353,546
  4. Step 4: Simplify right side
    160,924x = 124,994,774,116
  5. Step 5: Solve for x
    x = 124,994,774,116/160,924
  6. Step 6: Final answer
    x = 776,731.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.