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Finding the Third Proportional to 204,223.50 and 285,646.50

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Solution

The third proportional to 204,223.50 and 285,646.50 is: 399,532.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,223.50 : 285,646.50 = 285,646.50 : x
  2. Step 2: Convert to fraction form
    204,223.50/285,646.50 = 285,646.50/x
  3. Step 3: Cross multiply
    204,223.50x = 285,646.50 × 285,646.50
  4. Step 4: Simplify right side
    204,223.50x = 81,593,922,962.25
  5. Step 5: Solve for x
    x = 81,593,922,962.25/204,223.50
  6. Step 6: Final answer
    x = 399,532.49

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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.