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Finding the Third Proportional to 229,983.75 and 322,276.50

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Solution

The third proportional to 229,983.75 and 322,276.50 is: 451,606.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,983.75 : 322,276.50 = 322,276.50 : x
  2. Step 2: Convert to fraction form
    229,983.75/322,276.50 = 322,276.50/x
  3. Step 3: Cross multiply
    229,983.75x = 322,276.50 × 322,276.50
  4. Step 4: Simplify right side
    229,983.75x = 103,862,142,452.25
  5. Step 5: Solve for x
    x = 103,862,142,452.25/229,983.75
  6. Step 6: Final answer
    x = 451,606.44

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.