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Finding the Third Proportional to 264,208.50 and 353,932.88

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Solution

The third proportional to 264,208.50 and 353,932.88 is: 474,127.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,208.50 : 353,932.88 = 353,932.88 : x
  2. Step 2: Convert to fraction form
    264,208.50/353,932.88 = 353,932.88/x
  3. Step 3: Cross multiply
    264,208.50x = 353,932.88 × 353,932.88
  4. Step 4: Simplify right side
    264,208.50x = 125,268,480,005.77
  5. Step 5: Solve for x
    x = 125,268,480,005.77/264,208.50
  6. Step 6: Final answer
    x = 474,127.37

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.