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Finding the Third Proportional to 230,233.50 and 498,294

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Solution

The third proportional to 230,233.50 and 498,294 is: 1,078,456.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,233.50 : 498,294 = 498,294 : x
  2. Step 2: Convert to fraction form
    230,233.50/498,294 = 498,294/x
  3. Step 3: Cross multiply
    230,233.50x = 498,294 × 498,294
  4. Step 4: Simplify right side
    230,233.50x = 248,296,910,436
  5. Step 5: Solve for x
    x = 248,296,910,436/230,233.50
  6. Step 6: Final answer
    x = 1,078,456.92

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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.