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Finding the Third Proportional to 163,728.50 and 244,581.75

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Solution

The third proportional to 163,728.50 and 244,581.75 is: 365,362.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,728.50 : 244,581.75 = 244,581.75 : x
  2. Step 2: Convert to fraction form
    163,728.50/244,581.75 = 244,581.75/x
  3. Step 3: Cross multiply
    163,728.50x = 244,581.75 × 244,581.75
  4. Step 4: Simplify right side
    163,728.50x = 59,820,232,433.06
  5. Step 5: Solve for x
    x = 59,820,232,433.06/163,728.50
  6. Step 6: Final answer
    x = 365,362.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.