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Finding the Third Proportional to 106,128 and 230,994

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Solution

The third proportional to 106,128 and 230,994 is: 502,772.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,128 : 230,994 = 230,994 : x
  2. Step 2: Convert to fraction form
    106,128/230,994 = 230,994/x
  3. Step 3: Cross multiply
    106,128x = 230,994 × 230,994
  4. Step 4: Simplify right side
    106,128x = 53,358,228,036
  5. Step 5: Solve for x
    x = 53,358,228,036/106,128
  6. Step 6: Final answer
    x = 502,772.39

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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.