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Finding the Third Proportional to 173,724.75 and 379,434.38

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Solution

The third proportional to 173,724.75 and 379,434.38 is: 828,727.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,724.75 : 379,434.38 = 379,434.38 : x
  2. Step 2: Convert to fraction form
    173,724.75/379,434.38 = 379,434.38/x
  3. Step 3: Cross multiply
    173,724.75x = 379,434.38 × 379,434.38
  4. Step 4: Simplify right side
    173,724.75x = 143,970,444,931.64
  5. Step 5: Solve for x
    x = 143,970,444,931.64/173,724.75
  6. Step 6: Final answer
    x = 828,727.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.