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Finding the Third Proportional to 238,148.02 and 513,687.66

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Solution

The third proportional to 238,148.02 and 513,687.66 is: 1,108,029.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,148.02 : 513,687.66 = 513,687.66 : x
  2. Step 2: Convert to fraction form
    238,148.02/513,687.66 = 513,687.66/x
  3. Step 3: Cross multiply
    238,148.02x = 513,687.66 × 513,687.66
  4. Step 4: Simplify right side
    238,148.02x = 263,875,008,183.62
  5. Step 5: Solve for x
    x = 263,875,008,183.62/238,148.02
  6. Step 6: Final answer
    x = 1,108,029.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.