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Finding the Third Proportional to 106,629.75 and 230,337

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Solution

The third proportional to 106,629.75 and 230,337 is: 497,564.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,629.75 : 230,337 = 230,337 : x
  2. Step 2: Convert to fraction form
    106,629.75/230,337 = 230,337/x
  3. Step 3: Cross multiply
    106,629.75x = 230,337 × 230,337
  4. Step 4: Simplify right side
    106,629.75x = 53,055,133,569
  5. Step 5: Solve for x
    x = 53,055,133,569/106,629.75
  6. Step 6: Final answer
    x = 497,564.08

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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.