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Finding the Third Proportional to 106,688 and 231,472

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Solution

The third proportional to 106,688 and 231,472 is: 502,205.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,688 : 231,472 = 231,472 : x
  2. Step 2: Convert to fraction form
    106,688/231,472 = 231,472/x
  3. Step 3: Cross multiply
    106,688x = 231,472 × 231,472
  4. Step 4: Simplify right side
    106,688x = 53,579,286,784
  5. Step 5: Solve for x
    x = 53,579,286,784/106,688
  6. Step 6: Final answer
    x = 502,205.37

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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.