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Finding the Third Proportional to 232,611.75 and 315,693.07

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Solution

The third proportional to 232,611.75 and 315,693.07 is: 428,448.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,611.75 : 315,693.07 = 315,693.07 : x
  2. Step 2: Convert to fraction form
    232,611.75/315,693.07 = 315,693.07/x
  3. Step 3: Cross multiply
    232,611.75x = 315,693.07 × 315,693.07
  4. Step 4: Simplify right side
    232,611.75x = 99,662,114,643.33
  5. Step 5: Solve for x
    x = 99,662,114,643.33/232,611.75
  6. Step 6: Final answer
    x = 428,448.32

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.