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Finding the Third Proportional to 160,994 and 353,704

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Solution

The third proportional to 160,994 and 353,704 is: 777,088.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,994 : 353,704 = 353,704 : x
  2. Step 2: Convert to fraction form
    160,994/353,704 = 353,704/x
  3. Step 3: Cross multiply
    160,994x = 353,704 × 353,704
  4. Step 4: Simplify right side
    160,994x = 125,106,519,616
  5. Step 5: Solve for x
    x = 125,106,519,616/160,994
  6. Step 6: Final answer
    x = 777,088.09

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