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Finding the Third Proportional to 230,042 and 352,344

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Solution

The third proportional to 230,042 and 352,344 is: 539,667.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,042 : 352,344 = 352,344 : x
  2. Step 2: Convert to fraction form
    230,042/352,344 = 352,344/x
  3. Step 3: Cross multiply
    230,042x = 352,344 × 352,344
  4. Step 4: Simplify right side
    230,042x = 124,146,294,336
  5. Step 5: Solve for x
    x = 124,146,294,336/230,042
  6. Step 6: Final answer
    x = 539,667.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.