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Finding the Third Proportional to 230,429 and 338,110

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Solution

The third proportional to 230,429 and 338,110 is: 496,111.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,429 : 338,110 = 338,110 : x
  2. Step 2: Convert to fraction form
    230,429/338,110 = 338,110/x
  3. Step 3: Cross multiply
    230,429x = 338,110 × 338,110
  4. Step 4: Simplify right side
    230,429x = 114,318,372,100
  5. Step 5: Solve for x
    x = 114,318,372,100/230,429
  6. Step 6: Final answer
    x = 496,111.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.