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Finding the Third Proportional to 239,842.13 and 329,509.69

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Solution

The third proportional to 239,842.13 and 329,509.69 is: 452,700.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,842.13 : 329,509.69 = 329,509.69 : x
  2. Step 2: Convert to fraction form
    239,842.13/329,509.69 = 329,509.69/x
  3. Step 3: Cross multiply
    239,842.13x = 329,509.69 × 329,509.69
  4. Step 4: Simplify right side
    239,842.13x = 108,576,634,156.35
  5. Step 5: Solve for x
    x = 108,576,634,156.35/239,842.13
  6. Step 6: Final answer
    x = 452,700.43

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.