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Finding the Third Proportional to 146,832.75 and 316,993.50

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Solution

The third proportional to 146,832.75 and 316,993.50 is: 684,349.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,832.75 : 316,993.50 = 316,993.50 : x
  2. Step 2: Convert to fraction form
    146,832.75/316,993.50 = 316,993.50/x
  3. Step 3: Cross multiply
    146,832.75x = 316,993.50 × 316,993.50
  4. Step 4: Simplify right side
    146,832.75x = 100,484,879,042.25
  5. Step 5: Solve for x
    x = 100,484,879,042.25/146,832.75
  6. Step 6: Final answer
    x = 684,349.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.