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Finding the Third Proportional to 107,640 and 236,664

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Solution

The third proportional to 107,640 and 236,664 is: 520,344.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,640 : 236,664 = 236,664 : x
  2. Step 2: Convert to fraction form
    107,640/236,664 = 236,664/x
  3. Step 3: Cross multiply
    107,640x = 236,664 × 236,664
  4. Step 4: Simplify right side
    107,640x = 56,009,848,896
  5. Step 5: Solve for x
    x = 56,009,848,896/107,640
  6. Step 6: Final answer
    x = 520,344.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.