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Finding the Third Proportional to 117,571.50 and 232,105.50

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Solution

The third proportional to 117,571.50 and 232,105.50 is: 458,214.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,571.50 : 232,105.50 = 232,105.50 : x
  2. Step 2: Convert to fraction form
    117,571.50/232,105.50 = 232,105.50/x
  3. Step 3: Cross multiply
    117,571.50x = 232,105.50 × 232,105.50
  4. Step 4: Simplify right side
    117,571.50x = 53,872,963,130.25
  5. Step 5: Solve for x
    x = 53,872,963,130.25/117,571.50
  6. Step 6: Final answer
    x = 458,214.47

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.