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Finding the Third Proportional to 106,334 and 230,130

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Solution

The third proportional to 106,334 and 230,130 is: 498,051.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,334 : 230,130 = 230,130 : x
  2. Step 2: Convert to fraction form
    106,334/230,130 = 230,130/x
  3. Step 3: Cross multiply
    106,334x = 230,130 × 230,130
  4. Step 4: Simplify right side
    106,334x = 52,959,816,900
  5. Step 5: Solve for x
    x = 52,959,816,900/106,334
  6. Step 6: Final answer
    x = 498,051.58

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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.