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Finding the Third Proportional to 116,952.75 and 252,571.50

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Solution

The third proportional to 116,952.75 and 252,571.50 is: 545,454.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,952.75 : 252,571.50 = 252,571.50 : x
  2. Step 2: Convert to fraction form
    116,952.75/252,571.50 = 252,571.50/x
  3. Step 3: Cross multiply
    116,952.75x = 252,571.50 × 252,571.50
  4. Step 4: Simplify right side
    116,952.75x = 63,792,362,612.25
  5. Step 5: Solve for x
    x = 63,792,362,612.25/116,952.75
  6. Step 6: Final answer
    x = 545,454.15

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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.