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Finding the Third Proportional to 163,999 and 360,286.50

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Solution

The third proportional to 163,999 and 360,286.50 is: 791,507.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,999 : 360,286.50 = 360,286.50 : x
  2. Step 2: Convert to fraction form
    163,999/360,286.50 = 360,286.50/x
  3. Step 3: Cross multiply
    163,999x = 360,286.50 × 360,286.50
  4. Step 4: Simplify right side
    163,999x = 129,806,362,082.25
  5. Step 5: Solve for x
    x = 129,806,362,082.25/163,999
  6. Step 6: Final answer
    x = 791,507.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.