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Finding the Third Proportional to 216,584 and 331,020

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Solution

The third proportional to 216,584 and 331,020 is: 505,920.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,584 : 331,020 = 331,020 : x
  2. Step 2: Convert to fraction form
    216,584/331,020 = 331,020/x
  3. Step 3: Cross multiply
    216,584x = 331,020 × 331,020
  4. Step 4: Simplify right side
    216,584x = 109,574,240,400
  5. Step 5: Solve for x
    x = 109,574,240,400/216,584
  6. Step 6: Final answer
    x = 505,920.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.