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Finding the Third Proportional to 192,063 and 290,749.50

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Solution

The third proportional to 192,063 and 290,749.50 is: 440,143.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,063 : 290,749.50 = 290,749.50 : x
  2. Step 2: Convert to fraction form
    192,063/290,749.50 = 290,749.50/x
  3. Step 3: Cross multiply
    192,063x = 290,749.50 × 290,749.50
  4. Step 4: Simplify right side
    192,063x = 84,535,271,750.25
  5. Step 5: Solve for x
    x = 84,535,271,750.25/192,063
  6. Step 6: Final answer
    x = 440,143.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.