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Finding the Third Proportional to 106,704 and 233,088

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Solution

The third proportional to 106,704 and 233,088 is: 509,165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,704 : 233,088 = 233,088 : x
  2. Step 2: Convert to fraction form
    106,704/233,088 = 233,088/x
  3. Step 3: Cross multiply
    106,704x = 233,088 × 233,088
  4. Step 4: Simplify right side
    106,704x = 54,330,015,744
  5. Step 5: Solve for x
    x = 54,330,015,744/106,704
  6. Step 6: Final answer
    x = 509,165.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.