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Finding the Third Proportional to 106,376 and 230,224

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Solution

The third proportional to 106,376 and 230,224 is: 498,261.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,376 : 230,224 = 230,224 : x
  2. Step 2: Convert to fraction form
    106,376/230,224 = 230,224/x
  3. Step 3: Cross multiply
    106,376x = 230,224 × 230,224
  4. Step 4: Simplify right side
    106,376x = 53,003,090,176
  5. Step 5: Solve for x
    x = 53,003,090,176/106,376
  6. Step 6: Final answer
    x = 498,261.73

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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.