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Finding the Third Proportional to 200,845.50 and 285,534

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Solution

The third proportional to 200,845.50 and 285,534 is: 405,932.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,845.50 : 285,534 = 285,534 : x
  2. Step 2: Convert to fraction form
    200,845.50/285,534 = 285,534/x
  3. Step 3: Cross multiply
    200,845.50x = 285,534 × 285,534
  4. Step 4: Simplify right side
    200,845.50x = 81,529,665,156
  5. Step 5: Solve for x
    x = 81,529,665,156/200,845.50
  6. Step 6: Final answer
    x = 405,932.25

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.