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Finding the Third Proportional to 192,777.75 and 288,031.50

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Solution

The third proportional to 192,777.75 and 288,031.50 is: 430,351.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,777.75 : 288,031.50 = 288,031.50 : x
  2. Step 2: Convert to fraction form
    192,777.75/288,031.50 = 288,031.50/x
  3. Step 3: Cross multiply
    192,777.75x = 288,031.50 × 288,031.50
  4. Step 4: Simplify right side
    192,777.75x = 82,962,144,992.25
  5. Step 5: Solve for x
    x = 82,962,144,992.25/192,777.75
  6. Step 6: Final answer
    x = 430,351.25

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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.