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Finding the Third Proportional to 205,712.63 and 272,958.75

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Solution

The third proportional to 205,712.63 and 272,958.75 is: 362,187.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,712.63 : 272,958.75 = 272,958.75 : x
  2. Step 2: Convert to fraction form
    205,712.63/272,958.75 = 272,958.75/x
  3. Step 3: Cross multiply
    205,712.63x = 272,958.75 × 272,958.75
  4. Step 4: Simplify right side
    205,712.63x = 74,506,479,201.56
  5. Step 5: Solve for x
    x = 74,506,479,201.56/205,712.63
  6. Step 6: Final answer
    x = 362,187.20

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.