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Finding the Third Proportional to 216,342 and 322,713

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Solution

The third proportional to 216,342 and 322,713 is: 481,384.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,342 : 322,713 = 322,713 : x
  2. Step 2: Convert to fraction form
    216,342/322,713 = 322,713/x
  3. Step 3: Cross multiply
    216,342x = 322,713 × 322,713
  4. Step 4: Simplify right side
    216,342x = 104,143,680,369
  5. Step 5: Solve for x
    x = 104,143,680,369/216,342
  6. Step 6: Final answer
    x = 481,384.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.