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Finding the Third Proportional to 106,584 and 231,240

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Solution

The third proportional to 106,584 and 231,240 is: 501,688.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,584 : 231,240 = 231,240 : x
  2. Step 2: Convert to fraction form
    106,584/231,240 = 231,240/x
  3. Step 3: Cross multiply
    106,584x = 231,240 × 231,240
  4. Step 4: Simplify right side
    106,584x = 53,471,937,600
  5. Step 5: Solve for x
    x = 53,471,937,600/106,584
  6. Step 6: Final answer
    x = 501,688.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.