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Finding the Third Proportional to 155,973 and 319,320.75

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Solution

The third proportional to 155,973 and 319,320.75 is: 653,739.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,973 : 319,320.75 = 319,320.75 : x
  2. Step 2: Convert to fraction form
    155,973/319,320.75 = 319,320.75/x
  3. Step 3: Cross multiply
    155,973x = 319,320.75 × 319,320.75
  4. Step 4: Simplify right side
    155,973x = 101,965,741,380.56
  5. Step 5: Solve for x
    x = 101,965,741,380.56/155,973
  6. Step 6: Final answer
    x = 653,739.69

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.