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Finding the Third Proportional to 106,563 and 229,728

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Solution

The third proportional to 106,563 and 229,728 is: 495,246.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,563 : 229,728 = 229,728 : x
  2. Step 2: Convert to fraction form
    106,563/229,728 = 229,728/x
  3. Step 3: Cross multiply
    106,563x = 229,728 × 229,728
  4. Step 4: Simplify right side
    106,563x = 52,774,953,984
  5. Step 5: Solve for x
    x = 52,774,953,984/106,563
  6. Step 6: Final answer
    x = 495,246.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.