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Finding the Third Proportional to 192,788.50 and 288,048.50

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Solution

The third proportional to 192,788.50 and 288,048.50 is: 430,378.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,788.50 : 288,048.50 = 288,048.50 : x
  2. Step 2: Convert to fraction form
    192,788.50/288,048.50 = 288,048.50/x
  3. Step 3: Cross multiply
    192,788.50x = 288,048.50 × 288,048.50
  4. Step 4: Simplify right side
    192,788.50x = 82,971,938,352.25
  5. Step 5: Solve for x
    x = 82,971,938,352.25/192,788.50
  6. Step 6: Final answer
    x = 430,378.05

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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.