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Finding the Third Proportional to 143,596 and 304,472

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Solution

The third proportional to 143,596 and 304,472 is: 645,583.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,596 : 304,472 = 304,472 : x
  2. Step 2: Convert to fraction form
    143,596/304,472 = 304,472/x
  3. Step 3: Cross multiply
    143,596x = 304,472 × 304,472
  4. Step 4: Simplify right side
    143,596x = 92,703,198,784
  5. Step 5: Solve for x
    x = 92,703,198,784/143,596
  6. Step 6: Final answer
    x = 645,583.43

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Why These Related Problems?

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