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Finding the Third Proportional to 106,548 and 233,832

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Solution

The third proportional to 106,548 and 233,832 is: 513,171.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,548 : 233,832 = 233,832 : x
  2. Step 2: Convert to fraction form
    106,548/233,832 = 233,832/x
  3. Step 3: Cross multiply
    106,548x = 233,832 × 233,832
  4. Step 4: Simplify right side
    106,548x = 54,677,404,224
  5. Step 5: Solve for x
    x = 54,677,404,224/106,548
  6. Step 6: Final answer
    x = 513,171.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.