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Finding the Third Proportional to 155,967 and 319,311.75

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Solution

The third proportional to 155,967 and 319,311.75 is: 653,727.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,967 : 319,311.75 = 319,311.75 : x
  2. Step 2: Convert to fraction form
    155,967/319,311.75 = 319,311.75/x
  3. Step 3: Cross multiply
    155,967x = 319,311.75 × 319,311.75
  4. Step 4: Simplify right side
    155,967x = 101,959,993,688.06
  5. Step 5: Solve for x
    x = 101,959,993,688.06/155,967
  6. Step 6: Final answer
    x = 653,727.99

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Why These Related Problems?

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