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Finding the Third Proportional to 205,592.63 and 308,387.25

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Solution

The third proportional to 205,592.63 and 308,387.25 is: 462,578.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,592.63 : 308,387.25 = 308,387.25 : x
  2. Step 2: Convert to fraction form
    205,592.63/308,387.25 = 308,387.25/x
  3. Step 3: Cross multiply
    205,592.63x = 308,387.25 × 308,387.25
  4. Step 4: Simplify right side
    205,592.63x = 95,102,695,962.56
  5. Step 5: Solve for x
    x = 95,102,695,962.56/205,592.63
  6. Step 6: Final answer
    x = 462,578.34

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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.