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Finding the Third Proportional to 205,595.44 and 308,393.44

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Solution

The third proportional to 205,595.44 and 308,393.44 is: 462,590.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,595.44 : 308,393.44 = 308,393.44 : x
  2. Step 2: Convert to fraction form
    205,595.44/308,393.44 = 308,393.44/x
  3. Step 3: Cross multiply
    205,595.44x = 308,393.44 × 308,393.44
  4. Step 4: Simplify right side
    205,595.44x = 95,106,512,293.07
  5. Step 5: Solve for x
    x = 95,106,512,293.07/205,595.44
  6. Step 6: Final answer
    x = 462,590.58

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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.