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Finding the Third Proportional to 106,324 and 230,144

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Solution

The third proportional to 106,324 and 230,144 is: 498,159.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,324 : 230,144 = 230,144 : x
  2. Step 2: Convert to fraction form
    106,324/230,144 = 230,144/x
  3. Step 3: Cross multiply
    106,324x = 230,144 × 230,144
  4. Step 4: Simplify right side
    106,324x = 52,966,260,736
  5. Step 5: Solve for x
    x = 52,966,260,736/106,324
  6. Step 6: Final answer
    x = 498,159.03

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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.