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Finding the Third Proportional to 124,932.38 and 264,353.63

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Solution

The third proportional to 124,932.38 and 264,353.63 is: 559,365.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,932.38 : 264,353.63 = 264,353.63 : x
  2. Step 2: Convert to fraction form
    124,932.38/264,353.63 = 264,353.63/x
  3. Step 3: Cross multiply
    124,932.38x = 264,353.63 × 264,353.63
  4. Step 4: Simplify right side
    124,932.38x = 69,882,839,050.64
  5. Step 5: Solve for x
    x = 69,882,839,050.64/124,932.38
  6. Step 6: Final answer
    x = 559,365.33

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.