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Finding the Third Proportional to 205,763.63 and 309,192.19

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Solution

The third proportional to 205,763.63 and 309,192.19 is: 464,609.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,763.63 : 309,192.19 = 309,192.19 : x
  2. Step 2: Convert to fraction form
    205,763.63/309,192.19 = 309,192.19/x
  3. Step 3: Cross multiply
    205,763.63x = 309,192.19 × 309,192.19
  4. Step 4: Simplify right side
    205,763.63x = 95,599,808,811.04
  5. Step 5: Solve for x
    x = 95,599,808,811.04/205,763.63
  6. Step 6: Final answer
    x = 464,609.86

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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.