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Finding the Third Proportional to 205,750.13 and 308,632.78

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Solution

The third proportional to 205,750.13 and 308,632.78 is: 462,960.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,750.13 : 308,632.78 = 308,632.78 : x
  2. Step 2: Convert to fraction form
    205,750.13/308,632.78 = 308,632.78/x
  3. Step 3: Cross multiply
    205,750.13x = 308,632.78 × 308,632.78
  4. Step 4: Simplify right side
    205,750.13x = 95,254,193,662.11
  5. Step 5: Solve for x
    x = 95,254,193,662.11/205,750.13
  6. Step 6: Final answer
    x = 462,960.56

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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.