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Finding the Third Proportional to 192,159 and 288,854

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Solution

The third proportional to 192,159 and 288,854 is: 434,206.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,159 : 288,854 = 288,854 : x
  2. Step 2: Convert to fraction form
    192,159/288,854 = 288,854/x
  3. Step 3: Cross multiply
    192,159x = 288,854 × 288,854
  4. Step 4: Simplify right side
    192,159x = 83,436,633,316
  5. Step 5: Solve for x
    x = 83,436,633,316/192,159
  6. Step 6: Final answer
    x = 434,206.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.