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Finding the Third Proportional to 106,005.75 and 230,416.50

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Solution

The third proportional to 106,005.75 and 230,416.50 is: 500,838.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,005.75 : 230,416.50 = 230,416.50 : x
  2. Step 2: Convert to fraction form
    106,005.75/230,416.50 = 230,416.50/x
  3. Step 3: Cross multiply
    106,005.75x = 230,416.50 × 230,416.50
  4. Step 4: Simplify right side
    106,005.75x = 53,091,763,472.25
  5. Step 5: Solve for x
    x = 53,091,763,472.25/106,005.75
  6. Step 6: Final answer
    x = 500,838.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.