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Finding the Third Proportional to 230,282 and 350,994

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Solution

The third proportional to 230,282 and 350,994 is: 534,982.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,282 : 350,994 = 350,994 : x
  2. Step 2: Convert to fraction form
    230,282/350,994 = 350,994/x
  3. Step 3: Cross multiply
    230,282x = 350,994 × 350,994
  4. Step 4: Simplify right side
    230,282x = 123,196,788,036
  5. Step 5: Solve for x
    x = 123,196,788,036/230,282
  6. Step 6: Final answer
    x = 534,982.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.